The Block Of Mass M Slides On A Frictionless Surface

After the collision the small block is at rest and the larger block is moving to the right with speed V/2. At x= 0, block B enters a rough surface with a coe cient of kinetic friction that increases linearly with distance k(x) = bxfor 0 x d, where bis a positive constant. It then compresses a spring of force constant kand is brought to rest. ) (a) Determine the block's speed at points circled B and circled C. The block undergoes an elastic collision with stationary block 2, which is attached to a spring of spring constant 1208. The pulley turns on a frictionless axle but there is friction between the string and the pulley. 6 The horizontal surface on which the objects slide is frictionless. There's no friction between either the mass in the wedge or the wedge on the table, and then the system is released from rest, and in part they were asked to calculate the acceleration of the wedge and. 50 kg which, in turn, is at rest on a friction less horizontal surface (Fig. At one instant the vertical component of the block’s velocity is 3. (a) Draw the free body diagrams for each block. 9 m/s, the height difference is h = 1. 2 kg 128 N 60 64 N What is the. This block is then placed on a frictionless surface on Jupiter and given a force of 15 N. 7 m/s c) 1. 43 kg which hangs in the air. Let F be the net force necessary to give the earth-bound block an acceleration of a across the table. 8-28 , a small block of mass m can slide along the frictionless loop-the-loop. A cubical block of mass m is released from rest at a height h on a frictionless surface of a movable wedge of mass M, which in turn is placed on a horizontal frictionless surface. 6 The horizontal surface on which the objects slide is frictionless. Given that g moon. A block of mass 3. The coefficient of kinetic friction is 0. 00 × 104 N/m. The coefficient of static friction at the surface between the blocks is 0. 0 kg, the tension in string 1 is 12 N. 3 m/s2 down the incline. A bullet with a mass m is fired into a wooden block that lies on the top of a frictionless horizontal table. Question 12 of 14 > Final position A small block of mass m slides to the left on a frictionless, horizontal surface with speed u. The block undergoes an elastic collision with stationary block 2, which is attached to a spring of spring constant 1208. 0-kg block slides on a frictionless 25° inclined plane. Block A of mass 2. a) Determine the maximum compression of the spring. A second block (Block B, M B =5kg) sits above Block A. A block of mass 0. 00 kg which is at rest on a horizonatal surface. Initially the 6. A coil spring which obeys Hooke's law and has a spring constant k = 850 N/rn, is attached to the second block in such a way that it will be compressed when struck by the moving block. 60-kg block attached to a spring with force constant 130 N/m is free to move on a frictionless, horizontal surface as in Figure 15. kg), along a frictionless surface. A string attached to the block of mass M is pulled so that its tension is T 6. A block with mass M rests on a frictionless surface and is connected to a horizontal spring of force constant k. A constant horizontal force of. 0 kg by a massless string that passes over a light, frictionless pulley. It next slides down a smooth ramp, descending a height h, and then slides along a horizontal rough floor, stopping eventually. Block 1 with a mass of 500 g moves at a constant speed of 5 m/s on a horizontal frictionless track and collides and sticks to a stationary block 2 mass of 1. (a) If a horizontal force F is applied to the 5. 8 m/s2 up the incline 2) 2. 0 kilogram and block B has a mass of 2. The coefficient of kinetic friction between the block and surface is μk. 5 m/s, and vBf = 4. A block with mass 2. 00 m from the. 300, and the surface on which the 8. 2 kg) is moving rightward at 2. Get an answer for 'A block starts at rest and slides down a frictionless track. At one instant the vertical component of the block's velocity is 3. are assumed to be frictionless. A block slides down a curved frictionless surface of height 1 2 m and then moves up a rough inclined plane of angle of inclination 4 5 o. If a force P is applied at the free end of the rope, the force exerted by the rope on the block is: (1) Pm/(M + m) (2) Pm/(M - m) (3) P (4) PM/(M + m). If a force P is applied at the free end of the rope, the force exerted by the rope on the block will be. The coefficient of kinetic friction between the ramp and the block is 0. how much is the spring compressed from its natural length?. 23 kg lies on a frictionless horizontal surface. 200 kg sliding to the right over a frictionless elevated surface at a speed of 8. Answer in units of m/s2. Two blocks are connected by a rope, through a pulley as shown in this figure. 5 m/s, and vBf = 4. frictionless surface. The block slides over a rough surface 15 m in length (µ k = 0. A block of mass m1 = 3. Other end is attached to ceiling and block is released keeping the spring in vertical position. 6 The horizontal surface on which the objects slide is frictionless. A block of mass m b rests on a horizontal surface and is accelerated by means of a horizontal cord that passes over a frictionless peg to a hanging weight of mass m w. The two blocks stick together and move with a speed of 3 o v. A block with mass m = 1. It then compresses a spring of force constant k and is brought to rest. Two blocks collide on a frictionless surface. Consider two masses, and , connected by a light inextensible string. 2 \ kg) slides into block B (mass 2. 5 kg slides down a frictionless inclined plane of length 6. Initially the right edge of the block is at x = 0, in a co-ordinate system fixed to the table. A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. 00 × 104 N/m. 0-kg block is on a frictionless horizontal surface. There a frictional force stops the block in a distance d. A 5-kg mass with initial velocity 20 m/s slides along a frictionless horizontal surface then up a frictionless ramp (2 m long and at an angle 30 degrees to the horizontal) and onto a second horizontal surface. 5 m/s2 down the incline. 7 m/s toward the center of mass, which remains at rest. 0° incline and c Aline and Charlie are arguing as to whether or not. A 10 kg block on a horizontal frictionless surface is attached to a light spring (force constant=1. An identical block is at rest on a frictionless, horizontal table placed on the surface of the moon. The spring projects the block along a frictionless horizontal surface, giving the block a speed 𝑣. two seconds after it begins sliding, a horizontal, time- dependent force is applied to the mass. 0 cm to the right from its equilibrium position and released from rest. The track is not smooth. After collision, both blocks stick and slide together on frictionless surface at the same speed. A small block of mass m slides on a horizontal frictionless surface as it travels around the inside of a hoop of radius R. 0 points A block of mass m slides on a horizontal frictionless table with an initial speed v 0. The system is being pulled to the right across a horizontal frictionless surface by a horizontal force of 4. 0-kg block is connected to a spring that has negligible mass and a force constant of k = 220 N/m as shown in the gure below. a) calculate the velocity of the block at point B in m/s. Directly in front of it, and moving in the same direction, is a block of mass m2 = 4. ) If the collision is elastic, and friction can be ignored, determine a) the speed of the two blocks after the collision, and b) how far back up the incline the smalller masss will go. The acceleration of gravity is 9. The flywheel has mass 8. If a force ‘F’ is applied at the free end of the rope, the net force exerted on the block will be. 8 m/s2 down the incline 5) 2. A block with its mass M=159-g is released from rest at a height of b=28 cm on a frictionless x=27° incline. A block of mass m = 1. The horizontal surface on which the block of mass 5. 8 kg mass slides on a frictionless surface and is attached to two springs with spring constants 21 N / m and 77 N / m as shown in the figure. FIGURE Solution 36PStep 1 of 3The objective here is to calculate the tension in the string of the Pulley-Mass system given in the figure of the problem statement. After the impact, the bullet and the block slide off the table and hit the floor a distance x from the edge of the table. A small block of mass m1 = 0. It next slides down a smooth ramp, descending a height h, and then slides along a horizontal rough floor, stopping eventually. Let F be the net force necessary to give the earth-bound block an acceleration of a across the table. A block slides down a frictionless ramp from a height of h = 3 m. Question: A block of mass {eq}M {/eq} is traveling on a horizontal frictionless surface at a velocity {eq}V, {/eq} before colliding with a spring. 00 m/s hits a spring that is attached to a wall. The acceleration of gravity is 9. 50 kg is at rest on a ramp of mass M = 4. After the impact the bullet and the block slide off the table and hit the floor a distance x from the edge of the table. A block of mass m slides on a horizontal frictionless table with aninitial speed vo. The force of 65 N acts on the block in a horizontal direction and the force of 130 N acts on the block at an angle 60 What is the magnitude of the resulting acceleration of the block? The acceleration of gravity is 9. Given that g moon. The coefficient of kinetic friction between the block and the horizontal surface is k = 0. A string attached to the block is wrapped around a flywheel on a fixed axis at O. 0 kg, the tension in string 1 is 12 N. It is attached to a spring whose stiffness constant is k = 14 N/m. Block 1, of mass m 1 = 1. A block with its mass M=159-g is released from rest at a height of b=28 cm on a frictionless x=27° incline. 0 kg) sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 100 N/m) which has its other end fixed. 2 kg, moving at speed 0. Figure shows block 1 of mass 0. At the top of the incline the object has Gravitational Potential Energy. Develop expressions for the following quantities in terms of M, k, and. PHY131H1S Test 2 —version1 Solutions Tuesday, March 16, 2010 2. If the block is released from rest at the top of the incline, what is its speed at the bottom?. Find the new tension in the cord. A block of mass m slides at velocity vo across a horizontal frictionless surface toward a large curved movable ramp of mass 3m as shown in Figure l. 7 If angle θ = 40° and the tension in string 2 is 30 N, determine M. and pulley have negligible mass, and the pulley is frictionless. 85 m/s hits another block (2) m2=2. 6 m/s2 down the incline 4) 1. The Block Undergoes An Elastic Collision With Stationary Block 2, Which Is Attached To A Spring Of Spring Constant 1210 N/m. A mass m is moving on a frictionless surface, towards a beam that can rotate around an axis through its midpoint. 300, and the surface on which the 8. A 3-kilogram block slides along on a frictionless surface at 4 m/s north, and strikes an obstacle that exerts an impulse on the block of 6 N-s to the south. A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m as shown in fig. 0 kg is on a horizontal frictionless surface and is placed against a compressed spring that has force constant 128 N/rn. There a frictional force stops the block in a distance d. A block of mass 12. 2 A 50-g mass connected to a spring of force constant 35 N/m oscillates on a horizontal, frictionless surface with anamplitude of 4. 5) What is the net work done on the block after the block is pulled 15 meters? a) 2. A block of mass 1. The coefficient of friction between the block and the ring #mu#?. v m k m μ = 0 How much is the spring compressed x from its natural length? 1. A block of mass 3. (iii) Tension in the rope at its mid point. 53-kg mass is attached to a horizontal spring with k = 106 N/m. Block 1 of mass m1 slides along a frictionless floor and into a one-dimensional elastic collision with stationary block 2 of mass m2 = 5. The cord and pulley have negligible masses compared to the blocks. There's no friction between either the mass in the wedge or the wedge on the table, and then the system is released from rest, and in part they were asked to calculate the acceleration of the wedge and. The coefficient of kinetic friction between the block and the horizontal surface is k = 0. 0° incline as shown in the figure. 98 x 10 24 kg. What is the acceleration on the block? (1 point) 1. The block encounters a slope which it travels up. 0-kg block slides on a frictionless 20° inclined plane. After the collision, the first block moves at an angle θ to its initial direction and has a speed U/2. Determine the momentum of block 1 before the collision. When the block is at its highest point on the underside of the curve, the centripetal force is JUST provided by the weight of the block. 500 kg is released from rest at the top of a curve-shaped frictionless wedge of mass m2 = 3. There a frictional force stops the block in a distance d. 8 m/s How much is the spring compressed if its force constant is 2 kN/m? Answer in units of m. A block of mass 12. 0-g bullet is fired into, and embeds itself in, a 2. 0 kg) is moving rightward at 12 m/s and block 2 (mass 4. 500 m above the surface of a table, at the top of a θ = 30. It then compresses a spring of force constant k and is brought to rest. A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m If a force F is applied at one end of the rope, the force which the rope exerts on the block is - Science -. 5 m/s, and vBf = 4. It is brought momentarily to rest when it hits a bumper that compresses a spring. 0 N, as shown, with both blocks experiencing equal constant acceleration. 7 , we analyzed the motion of a block sliding down a frictionless incline. The force of 124 N acts on the block at an angle 60 as shown below. A block with a mass of 5. a) What is its maximum speed? m/s b) What is its speed when the extension is 30 cm? m/s c) At what position is the kinetic energy equal to the potential energy?. A second block of mass 2M and initial speed vo collides with and sticks to the first block. 6 N/m and having negligible mass. 0 kg slides from rest down a frictionless 35. The coefficient of friction between the block and plank is 0. How much work does the gravitational force do on the block as the block travels from point P to (a) point Q and. 64 N acts on the block in a horizontal direction. 7 kg at rest. 7 \ kg), along a frictionless surface. The bullet emerges from the block with a velocity of v 0 /3. A second block with mass m rests on top of the first block. Initially the right edge of the block is at x = 0, in a co-ordinate system fixed to the table. Assuming the friction between the block and the surface is negligible, answer the following: a. The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant K and compresses it by length L. At x= 0, block B enters a rough surface with a coe cient of kinetic friction that increases linearly with distance k(x) = bxfor 0 x d, where bis a positive constant. 00 kg block is placed on a 30. It then compresses a spring of force constant k and is brought to rest. Determine the final velocity of each block after all subsequent collisions are over. The track is frictionless until the block reaches the higher level. 0° incline as shown in the figure. Find the maximum. Question from Work, Power and Energy,jeemain,physics,class11,work-power-energy,ch6,work-done-by-a-spring,medium. 0° to the horizontal. The acceleration of gravity is 9. The coefficient of friction between the block and the ring #mu#?. A block of mass. Block A of mass m rests on the plank B of mass 3m which is free to slide on a frictionless horizo-ntal surface. 0 kg) sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 100 N/m) which has its other end fixed. Application of Newton's second law to mass on incline. 6 kg is pushed against the spring until it is compressed a distance of 4 cm. 0 kg, the tension in string 1 is 12 N. A small block with mass m and initial speed u 0 slides on top of the larger plank. Determine the vertical distance traveled by the block, x , where it loses contact with the surface of the sphere and its speed at this point. The acceleration of gravity is 9. now lets assume the body is ata height H from horizontal. The frictionless incline is fixed on a table of height H = 2. Block A has a mass M and is initially moving to the right at speed v. Published on Dec 22, 2015 A block of mass 12. Block 1 (mass 2. 0-kg bottom block, what is the maximum value F can have before. Find the (i) Acceleration of the rope and the block (ii) Force that the rope exerts on the block. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37. If a horizontal force of magnitude 2 mg is applied to the plank B, the acceleration of A relative to the plank and relative to the ground respectively, are: A 2mg is. v m k m μ = 0 How much is the spring compressed x from its natural length? 1. If an object is on a level surface and the force tending to cause it to slide is horizontal, the normal force between the object and the surface is just its weight, which is equal to its mass multiplied by the acceleration due to. ) (a) Determine the block's speed at points circled B and circled C. On the floor the speed of the block is observed to be 12 Ill//s. Two masses m1 and m2 situated on a frictionless, hori-zontal surface are connected by a light string. 4 m that makes an angle of 30 degrees with the horizontal. Block A with mass 0. 6 N acting parallel to the incline and up the incline is applied to the block. And T is the tension in the string. The force of 62 N acts on the block in a horizontal direction. The block is connected by a cord passing over a pulley to another block of mass 3. 0 kg and the hanging block has a mass of 5. 5 m/s2 down the incline. 0 N at an angle θ = 28. 40) The block shown in Fig. What is the block's speed at the bottom of the first incline? b. 0 x 10 -2 m to the right after impact and comes to rest momentarily, find (a) the speed at which the bullet emerges from the block and (b) the energy lost in the block. How high does the block go on the second. 40, and the angle of the incline is 35°, find the maximum and minimum values of F for which the. The horizontal surface on which the block of mass 6. (16 pts) A block of mass m 2. Question 5 One end of a spring is attached to a wall while the other end reaches exactly to the edge of a frictionless table 1 meters tall. a small block of mass M=0. A horizontal force Fis applied to one end of the rope. This block is then placed on a frictionless surface on Jupiter and given a force of 15 N. PHY131H1S Test 2 —version1 Solutions Tuesday, March 16, 2010 2. The surface of the table is a height h above the floor. 0 kg mass sliding on a frictionless horizontal surface at 7. The frictional force on the block b. The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant K and compresses it by length L. At one instant the vertical component of the block’s velocity is 3. (a) If the ramp is inclined 250 with the horizontal, how far along the surface of the ramp does the block slide before coming to a stop? (b) The block then slides back down the ramp. 0 N and M = 1. A block of mass m = 4. 0 kg) sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 100 N/m) which has its other end fixed. After the collision the small block is at rest and the larger block is moving to the right with speed V/2. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expended. and pulley have negligible mass, and the pulley is frictionless. The horizontal surface on which the block of mass 5. The block undergoes an elastic collision with stationary block 2, which is attached to a spring of spring constant 1208. A block of mass 0. It is attached to a string that goes over a frictionless and massless pulley. The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant K and compresses it by length L. 427 kg block slides down a frictionless surface through height h = 1. 3 kg slides is frictionless. A block with a mass of 5. µ, and v, find expressions for each of the following. 2 kg, moving at speed 0. The Block Undergoes An Elastic Collision With Stationary Block 2, Which Is Attached To A Spring Of Spring Constant 1210 N/m. The block slides down the plane, travels across a rough horizontal surface with coefficient of kinetic friction u, and compresses a spring with force constant k a distance x before momentarily coming to rest Then the spring extends and the block travels back across the rough surface, sliding up the plane. Find an expression for the tension in the string. 0 kg) is moving rightward at 12 m/s and block 2 (mass 4. A small block slides from rest from the top of a fixed frictionless sphere of radius R. 0 kg slides from rest down a frictionless 35. Acceleration = m/s 2 compared to 9. The surface of the table is a height h above the floor. It next slides down a smooth ramp, descending a height h, and then slides along a horizontal rough floor, stopping eventually. 0° and If the slope is 11. A block of mass m slides on a horizontal frictionless table with aninitial speed vo. Block A in the figure below has mass 1. 5 m height) before it starts sliding back. 500 kg is alt)the top mass = 3. A second block (Block B, M B =5kg) sits above Block A. The measured period of the moon is 27. (Figure 1) Find An Expression For The Tension In The String. The block is released and is launched off the table, striking the ground 83. a 50g block slides down a frictionless surface through height h=20cm and then sticks to a uniform rod of mass 100g and length 40cm. A mass m is attached to a cord passing through a small hole in a frictionless horizontal surface. The cord is then slowly pulled from below and the radius decreases to r. 00 M/son A Horizontal,frictionless Surface. 0 m/s2 up the incline 4) 3. 7 kg at rest. The two blocks then slide into a region. We found that the block accelerates down the slope with uniform acceleration , where is the angle subtended by the incline with the horizontal. 40 m as shown in the figure. Block A has a mass M and is initially moving to the right at speed v. mg [/math] However Just read the question again , it says minimum force (There is no mention of minimum horizontal force) Now as we know Friction [m. 00-kg block is moving to the right, both with a speed of 0. 0° to the horizontal. What is the speed of the Block at t = 11 seconds. System C is composed of both blocks, (a) Draw a force diagram for each block at an instant during the collision, (b) Rank the. A block (mass = 4. The block approaches a massless spring with spring constant k = 10 N/m. The block encounters an unstretched spring and compresses it 24. At maximum compression, the box has a speed of zero. Find the acceleration of the smaller block with respect to the prism. The acceleration due to gravity is g. 3 kg slides is frictionless. The acceleration of the block is 1. 2 m from the bottom of the incline. If the block moves a distance of 5. If an object is on a level surface and the force tending to cause it to slide is horizontal, the normal force between the object and the surface is just its weight, which is equal to its mass multiplied by the acceleration due to. 8 kg mass slides on a frictionless surface and is attached to two springs with spring constants 21 N / m and 77 N / m as shown in the figure. 500 kg is released from rest at the top of a curve-shaped frictionless wedge of mass m2 = 3. and pulley have negligible mass, and the pulley is frictionless. A mass m is moving on a frictionless surface, towards a beam that can rotate around an axis through its midpoint. The block rests on the horizontal frictionless surface of a fixed table. When the spring is 4 cm shorter than its equilibrium length, the speed. 00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, compressing it 0. It is attached to another block m that is hanging off the surface by a massless string over a massless, frictionless pulley. A block with its mass M=159-g is released from rest at a height of b=28 cm on a frictionless x=27° incline. It undergoes a constant 7 Newton force. Other end is attached to ceiling and block is released keeping the spring in vertical position. 200 kg sliding to the right over a frictionless elevated surface at a speed of 8. A small block with mass m and initial speed u 0 slides on top of the larger plank. A block with mass m = 5. 4; there is no friction at the surface. sliding block on frictionless track a 3. (Assume that the spring does not affect the collision. A block of mass 0. The block's initial speed is vo = 5. 8 m/s² for freefall. Point A is at height H above the level of Points B and C. The frictional force on the block is (g = 9. The block is released from rest at point P, at height h = 5R above the bottom of the loop. Determine the acceleration of each block and the tension in the string. The two blocks stick together and move with a speed of 3 o v. are assumed to be frictionless. Find an expression for the tension in the string. The magnitude of the acceleration of block B is A)1 kg B)5 kg C)6 kg D)7 kg 13. 50; there they stop. The frictionless incline is fixed on a table of height H = 2. Let F be the net force necessary to give the earth-bound block an acceleration of a across the table. There a frictional force stops the block in a distance d. The coefficient of static friction at the surface between the blocks is 0. A block of mass m slides on a frictionless table. The tension in the string is QuickCheck 7. How far is the spring compressed if the bullet has a speed of 300. A block of mass m 1 = 18:0 kg is connected to a block of mass m 2 = 32. A 3-kilogram block slides along on a frictionless surface at 4 m/s north, and strikes an obstacle that exerts an impulse on the block of 6 N-s to the south. 8 m / s 2):. 5 m/s, and vBf = 4. A mass m is attached to a cord passing through a small hole in a frictionless horizontal surface. 8 m/s How much is the spring compressed if its force constant is 2 kN/m? Answer in units of m. After collision the first block moves at an angle θ to its initial direction and has a speed 3 υ. It slides down a frictionless incline, across a horizontal rough surface of length L, then up a frictionless incline. The wedge is acted upon by a horizontal force F~ and slides on a frictionless surface. Suppose that the first mass slides over a smooth, frictionless, horizontal table, whilst the second is suspended over the edge of the table by means of a light frictionless pulley. a block of mass m slides on a horizontal frictionless table with an initial speed Vo. 500 kg block is attached to a spring with length 0. 0o incline and is stopped by a strong spring with k=3. 8 m/s2 up the incline 2) 2. In terms of m, mass M is most nearly (A) 4 (B) 3 (C) 2 (D) 2 m (E) 3 m m m m 6. 5 m/s, vBi = 2. So we have a wedge with mass Big M sitting on a frictionless horizontal tabletop, and there's a block with mass little M sitting on the wedge. Directly in front of it, and moving in the same direction, is a block of mass m2 = 4. The directions of velocities. The block's initial speed is vo = 5. 0 m/s, slides along an x axis on a frictionless floor and then undergoes a one-dimensional elastic collision with stationary block 2, with mass m2 = 0. Okay, I have several questions: 1. 0 N, as shown, with both blocks experiencing equal constant acceleration. 0 kg mass is released from rest at point A of a circular frictionless track of radius 0. Acceleration = m/s 2 compared to 9. 5 m/s, and vBf = 4. 00 x 10^4 N/m. On a frictionless surface, a block of mass. 1 1 A block of mass m is pulled along a frictionless horizontal floor by a tension force T as shown. The spring is brought back to equilibrium and the mass connected to it is now doubled to 2M. A force of 80 N is applied to the 28kg block. The brown triangle is the fixed inclined plane and the black block is placed on it with a dry frictionless surface of contact. Block 1, with mass m1 and speed 4. The blocks are forced together, compressing a spring S between them; then the system is released from rest on a level, frictionless surface. How fast is the block moving at the instant the spring has been compressed 15 cm? k = 2. The block is initially at rest at its equilibrium position when a force (magnitude P) acting parallel to the surface is applied to the block, as shown. 0-kg bottom block, what is the maximum value F can have before the 2. 7 m/s c) 1. The two blocks then slide into a region where the coefficient of kinetic friction is 0. 0-kg block slides on a frictionless 25° inclin If F = 40 N and M = 2. Base your answers to questions 28 through 31 on the diagram below that shows an object at A that moves over a frictionless surface from A to E. The coefficient of static friction at the surface between the blocks is 0. 00 x 10^4 N/m. Find an expression for the tension in the string. Block 1, of mass m 1 = 1. 3 kg slides is frictionless. 95 m/s to the right. Let F be the net force necessary to give the earth-bound block an acceleration of a across the table. The two blocks stick together after the collision. 0-g bullet is fired into, and embeds itself in, a 2. block A (mass 1. 3 m/s2 up the incline 3) 6. If F = 20 N and M = 5. 5kg and speed 5m/s slides across a horizontal frictionless surface and hits a spring of force constant 100N/m. If the maximum distance the block slides from the equilibrium position is equal to 20 cm, what is the speed of the block at an instant when it is a distance of 16 cm from the equilibrium position?. System C is composed of both blocks, (a) Draw a force diagram for each block at an instant during the collision, (b) Rank the. Find the (i) Acceleration of the rope and the block (ii) Force that the rope exerts on the block. how to find the ratio of Kinetic energy (final/initial) ?. 5 kg block slides along a track from one level to a higher level after passing through an intermediate valley. 7 kg) slides into block B (mass 2. 26, how far does the block. The directions of velocities before and after the collision are indicated; the corresponding speeds are vAi = 5. A block of mass m is at rest on a frictionless, horizontal table placed in a laboratory on the surface of the earth. 00 m from the. (b) Number 0 Units m A large wedge with a mass of 10 kg rests on a horizontal frictionless surface, as shown. 3 kg slides is frictionless. The block is free to move along a horizontal frictionless surface and connected, by a cord that wraps over a frictionless pulley, to a second block H (the hanging block), with mass m 2. The frictional force on the block b. find theta. The coefficient of kinetic friction between the surface and the block is 0. The track is frictionless until the block reachesthe higher level. A spring is attached to a vertical wall, it has a force constant of k = 850 N/m. 0 kg, what is the horizontal component (frictional force) of the force of the small block on the large block? 1) 0. 00 cm from equilibrium and when the block passes. 0o incline and is stopped by a strong spring with k=3. A cubical block of mass m is released from rest at a height h on a frictionless surface of a movable wedge of mass M, which in turn is placed on a horizontal frictionless surface. The block's initial speed is vo = 5. 0 kg and the hanging block has a mass of 5. Point A is at height H above the level of Points B and C. Given that g moon. Assume that the block slides slowly enough so that it does not lose contact with the supporting surfaces (table, ramp, or floor). A 10 kg block on a horizontal frictionless surface is attached to a light spring (force constant=1. Combined translational and rotational motion In Sect. 4; there is no friction at the surface. 0 m/s straight up a flat surface inclined 30. It is attached to a string that goes over a frictionless and massless pulley. If the slope is 11 degrees and the coefficient of kinetic friction between the block and the incline is 0. When released, the block slides down the ramp to the left and the ramp, also free to slide on the frictionless surface, slides to the right as in Figure P8. ) If the collision is elastic, and friction can be ignored, determine a) the speed of the two blocks after the collision, and b) how far back up the incline the smalller masss will go. Initially the right edge of the block is at x. The other end of the spring is attached to a wall (see figure). Question 17 1 pts A block of mass m slides on the frictionless surface of a paraboloid. The block slides down the plane, travels across a rough horizontal surface with coefficient of kinetic friction u, and compresses a spring with force constant k a distance x before momentarily coming to rest Then the spring extends and the block travels back across the rough surface, sliding up the plane. 427 kg block slides down a frictionless surface through height h = 1. 2 \ kg) slides into block B (mass 2. It travels a distance d across a rough horizontal surface with coefficient of kinetic friction μ, and compresses a spring of spring constant k by a distance x before coming to rest momentarily. 0-kg bottom block, what is the maximum value F can have before the 2. 0 m/s, slides along an x axis on a frictionless floor and then undergoes a one-dimensional elastic collision with stationary block 2, with mass m2 = 0. Find an expression for the tension in the string. The blocks are forced together, compressing a spring S between them; then the system is released from rest on a level, frictionless surface. Which two quantities are measured in the same units ?. A block of mass m slides on a frictionless table. The speed at the bottom of the incline. It then compresses a spring of force constant k and is brought to rest. Let M be the mass of the cart, m the mass of the girl and let. 3 A spring with force constant k = 250 N/m attaches block II to the wall. So: mg = m v v /R v v = gR (1) The block falls through a height of (H - 2 R. A block of mass M is pulled with a rope on a frictionless. If the maximum distance the block slides from the equilibrium position is equal to 20 cm, what is the speed of the block at an instant when it is a distance of 16 cm from the equilibrium. Express your answer in terms of the variables,, and appropriate constants. 580 kg block slides on a frictionless, horizontal surface with a speed of 1. This block is then placed on a frictionless surface on Jupiter and given a force of 15 N. 050 kg is released from rest at the rim of a frictionless hemispherical bowl that has radius R = 0. From what minimum height h must the block start to make it around the loop without falling off? Give your answer as a multiple of R. 0 kg slides from rest down a frictionless 35. A 5-kg mass with initial velocity 20 m/s slides along a frictionless horizontal surface then up a frictionless ramp (2 m long and at an angle 30 degrees to the horizontal) and onto a second horizontal surface. Develop expressions for the following quantities in terms of M, k, and. 0° and the coefficient of kinetic friction between the block and the incline is 0. the force acting on the body while its going down is F= M*g*sin(alpha). What is the magnitude of F? Assume the acceleration due to gravity is 9. A block of mass m starts from rest at height h. 40 m as shown in the figure. 0 kg are connected as shown above by a spring of spring constant 80 N/m and negligible mass. (a) Determine the acceleration of the block as it slides down the incline. The mass is initially orbiting with speed b in a circle of radius R. A block of mass 0. A block of mass mA = 4. How far into that region do (a) Block 1 and. The spring projects the block along a frictionless horizontal surface, giving the block a speed 𝑣. Frictional forces keep the two blocks from sliding relative to each other, and the two move with the same acceleration. 0 kg block gives it an acceleration of 5. A block slides down a frictionless plane that makes an angle of 30 with the horizontal. 10 Slide 7-79 A. What is the magnitude of the resulting ac- celeration of the block? Answer in units of m/s2. 500 kg is alt)the top mass = 3. The spring is stretched 26 cm from equilibrium, and then the mass is released from rest. 2 kg block slides along a frictionless surface at 1. Use the work–energy theorem to calculate the coefficient of kinetic friction between. What distance 𝑥. 2 kg) is moving rightward at 2. Prior to the collision, the center of mass of the two-block system had a speed of 2. A block (mass = 4. The horizontal surface on which the block of mass 3. The paraboloid can be described in cylindrical coordinates as 2 = p/ a where a is a constant length scale. A 5-kg mass with initial velocity 20 m/s slides along a frictionless horizontal surface then up a frictionless ramp (2 m long and at an angle 30 degrees to the horizontal) and onto a second horizontal surface. 9 m/s (b) magnitude of the tension. Slide 2 / 42 1. The block is released and is launched off the table, striking the ground 83. When the block reaches point B, you let go off the block. A bullet of mass m moves at a velocity v 0 and collides with a stationary block of mass M and length L. After sliding a distance of 2 m, the block makes a smooth transition to a frictionless ramp inclined at an angle of 40o to the hori-zontal. 60-kg block attached to a spring with force constant 130 N/m is free to move on a frictionless, horizontal surface as in Figure 15. A block of mass m slides from rest at a height H on a frictionless inclined plane as shown in the figure. 5 m/s, and vBf = 4. What is the magnitude of F? Assume the acceleration due to gravity is 9. The horizontal surface on which the block of mass 6. If a force P is applied at the free end of the rope, the force exerted by the rope on the block will be. The block encounters an unstretched spring and compresses it 24. 26, how far does the block. The wedge is acted upon by a horizontal force F~ and slides on a frictionless surface. 854 kg and length d = 2. Find the new tension in the cord. Combined translational and rotational motion In Sect. 0 kg block gives it an acceleration of 5. 0 kg starts to slide from rest down a frictionless quarter circle track of radius 5. 0-g bullet is fired into, and embeds itself in, a 2. Alight string is attached to the block and runs over a frictionless pulley to a 450-g dangling mass (m). 66 m/s 2 C) 8. 0 kg) sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 100 N/m) which has its other end fixed. Initially the right edge of the block is at x. Homework Equations [itex]F=ma[/itex] The Attempt at a Solution. A block of mass 'M' is pulled along a horizontal frictionless surface by a rope of mass 'm'. If an object is on a level surface and the force tending to cause it to slide is horizontal, the normal force between the object and the surface is just its weight, which is equal to its mass multiplied by the acceleration due to earth's gravity, g. On a frictionless surface, a block of mass. The block and the ramp are aligned so that each has its center of mass located at x = 0. block is free to move along a horizontal frictionless surface and connected, by a cord that wraps over a frictionless pulley, to a second block H (the hanging block ), with mass m = 2. A block having mass M slides on a frictionless surface and collides with a block of mass 2M which is initially at rest. How far up the ramp does the block slide before coming monetarily to rest?. Find an expression for the tension in the string, expressing your answer in terms of the variables M, m, and appropriate constants. What is the block's speed at the bottom of the first incline? b. If the slope is 11. The coefficient of static friction at the surface between the blocks is 0. The block is free to move along a horizontal frictionless surface and connected, by a cord that wraps over a frictionless pulley, to a second block H (the hanging block), with mass m 2. (14 pts) A block of mass m 0. A block of mass 'M' is pulled along a horizontal frictionless surface by a rope of mass 'm'. 3 A spring with force constant k = 250 N/m attaches block II to the wall. will be the force exerted by the rope on the block if the mass of. A 10 kg block on a horizontal frictionless surface is attached to a light spring (force constant=1. The block is given a 25 N force to the right and it accelerates at a rate of 3. now lets assume the body is ata height H from horizontal. What is the velocity at the bottom and at the top of the ramp? #1 = 0 y h m v 3 0 1 m/s y = = #0 #2 y = h_ • Since gravity is the only force performing work on the object, the total mechanical energy is conserved as gravity is a conservative force. 9 m/s2 down the incline 5) 3. if the block is released from rest at the top of the incline, what is its speed at the bottom. I tried starting with F=ma to get: T=Ma <------ for block M T=ma-mg <-- for Block m But I can't figure out how to get a single expression out of them, and I can't see any other way to solve this. (b) Identify the horizontal force that causes the block of mass m to accelerate. There's no friction between either the mass in the wedge or the wedge on the table, and then the system is released from rest, and in part they were asked to calculate the acceleration of the wedge and. 0 m/s and the horizontal component is 6. 0kg slides from rest down a frictionless 35. The surface of contact between the girl's feet and the cart has considerable friction. The spring projects the block along a frictionless horizontal surface, giving the block a speed 𝑣. By how much (distance) is the spring compressed if its force constant is 1500 N/m?. Block 1, with mass m1 and speed 4. The acceleration of gravity is 9. If an object is on a level surface and the force tending to cause it to slide is horizontal, the normal force between the object and the surface is just its weight, which is equal to its mass multiplied by the acceleration due to. 0 kg by a massless string that passes over a light, frictionless pulley. 0 N, as shown, with both blocks experiencing equal constant acceleration. When the block arrives at the bottom of the plane it has a velocity of 25 m/s. In terms of m, R, u, and v, find expressions for each of the following. A block slides on a frictionless surface. 0 kg) slides into block B (mass 2. 0( incline as shown in Figure P5. sliding block on frictionless track a 3. The block is pulled 8. (a) speed v of the masses 4. At the bottom, it stikes a block of mass M =7. The brown triangle is the fixed inclined plane and the black block is placed on it with a dry frictionless surface of contact. A small block of mass m slides on a horizontal frictionless surface as it travels around the inside of a hoop of radius R. The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant K and compresses it by length L. 00 * 10^3 J d) 3. Determine the acceleration of each block and the tension in the string. 4 kg), along a frictionless surface? The directions of the three velocities are indicated; the corresponding speeds are vAi = 5. how to find the ratio of Kinetic energy (final/initial) ?. 0 kg is put on top of a block of mass mB = 5. The track is frictionless until the block reaches the higher level. Block 2 is attached to an unstretched spring with a spring constant 200 N/m. The coefficient of kinetic friction between the block and surface is μk. A block of mass m slides at velocity vo across a horizontal frictionless surface toward a large curved movable ramp of mass 3m as shown in Figure l. 0 kg, the tension in string 1 is 12 N. 0 kg) sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 100 N/m) which has its other end fixed. 00 m/s to the right, as in FigureP9. The spring projects the block along a frictionless horizontal surface, giving the block a speed 𝑣. A block of mass m slides on a horizontal frictionless table with aninitial speed vo. 500 kg block is attached to a spring with length 0. What is the magnitude of the resulting ac- celeration of the block? Answer in units of m/s2. 0 kg mass is released from rest at point A of a circular frictionless track of radius 0. When the block slides up the. Answer in m/s^2. Find an expression for the tension in the string. If the tension is Ti, determine the period of rotation. Then, the block slides up a rough ramp that has an incline angle of 8. 0 kg) is moving rightward at 12 m/s and block 2 (mass 4. The coefficient of kinetic friction between the ramp and box is p. 00 kg, and block B has mass 3. The horizontal surface on which the block of mass 6. 0 m long flat surface, BC, before it climbs another frictionless slope CD. A string attached to the block is wrapped around a flywheel on a fixed axis at O. 0 kg) sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 100 N/m) which has its other end fixed. T > mg Tension has to be less than mg for the block to have a downward acceleration. The block slides over a rough surface 15 m in length (µ k = 0. 5 m/s, vBi = 2. If F = 20 N and M = 5. The masses stick together and slide up a frictionless track at 60 degrees from horisontal. A person extends the spring 30 cm from equilibrium and holds it at this location by applying a 10 N force. Assume the three blocks portrayed in the figure below move on a frictionless surface and a 42-N force acts as shown on the 3. 0-kg block slides on a frictionless 20° inclined plane. Which two quantities are measured in the same units ?. (a) Draw the free body diagrams for each block. The force of 65 N acts on the block in a horizontal direction and the force of 130 N acts on the block at an angle 60 What is the magnitude of the resulting acceleration of the block? The acceleration of gravity is 9. The coefficient of static friction at the surface between the blocks is 0. The system is being pulled to the right across a horizontal frictionless surface by a horizontal force of 4. 85 m/s hits another block (2) m2=2. of Mass of Block 1980M2.