A hanging weight, with a mass of m, = 0.355 kg, is attached by a cord to a block with mass m, = 0.805 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R, = 0.0200 m, and an outer radius of R, = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is u, = 0.250. At the instant shown, the block is moving with a velocity of v, = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the cord does not stretch and does not slip on the pulley, and that the mass of the cord is negligible. Ry R (a) Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown. m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s

A hanging weight, with a mass of m, = 0.355 kg, is attached by a cord to a block with mass m, = 0.805 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R, = 0.0200 m, and an outer radius of R, = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is u, = 0.250. At the instant shown, the block is moving with a velocity of v, = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the cord does not stretch and does not slip on the pulley, and that the mass of the cord is negligible. Ry R (a) Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown. m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A stone is suspended from the free end of a wire that is wrapped aroundthe outer of a pulley as shown. The pulley is a solid cylinder with mass 10.0 kgand radius 30.0 cm. You measure that the stone travels 12.6 m in the first 3.00s starting from rest. What is (a) the tension in the wire and (b) the mass of thestone?
A hanging weight, with a mass of m, = 0.370 kg, is attached by a cord to a block with mass m, = 0.850 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R, = 0.0200 m, and an outer radius of R, = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is µ, = 0.250. At the instant shown, the block is moving with a velocity of v; = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the cord does not stretch and does not slip on the pulley, and that the mass of the cord is negligible. R2 (a) Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown. 2.15 x m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this…
In the figure below, the hanging object has a mass of m₁ = 0.415 kg; the sliding block has a mass of m₂ = 0.760 kg; and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R₁ = 0.020 0 m, and an outer radius of R₂ = 0.0300 m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface is 4 = 0.250. The pulley turns without friction on its axle. The light cord does not stretch and does not slip on the pulley. The block has a velocity of v = 0.820 m/s toward the pulley when it passes a reference point on the table. R R (a) Use energy methods to predict its speed after it has moved to a second point, 0.700 m away. m/s (b) Find the angular speed of the pulley at the same moment. rad/s
A solid cylinder with a mass of 15 kg and a radius of 5 cm is mounted on a frictionless horizontal axle over a well as shown in the Figure below. A rope of negligible mass is wrapped around the cylinder and supports a bucket with a mass of 3 kg. Find the bucket’s acceleration as it falls down the well shaft.
A frictionless pulley has the shape of a uniform solid disk of mass 2.90 kg and radius 10 cm. A 1.30 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (the figure (Figure 1)), and the system is released from rest. How far must the stone fall so that the pulley has 3.40 J of kinetic energy? What percent of the total kinetic energy does the pulley have?
A hanging weight, with a mass of m, = 0.370 kg, is attached by a cord to a block with mass m, = 0.860 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R, = 0.0200 m, and an outer radius of R, = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is Hy = 0.250. At the instant shown, the block is moving with a velocity of v, = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the cord does not stretch and does not slip on the pulley, and that the mass of the cord is negligible. R2 R (a) Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown. m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance?…
A pulley on a frictionless axle has the shape of a uniform solid disk of mass 2.50 kg and radius 0.150m. A 1.50 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (Fig), and the system isreleased from rest. (a) How far must the stone fall so that the stone has 1.20 m/s speed? (b) What percentage of the total kinetic energy does the pulley have?
A 20 N force is applied at the end of a wrench that is 40 cm in length. The force is applied at an angle of 60° to the wrench. Calculate the magnitude of the torque about the point of rotation M.
A block of mass m1 = 2.05 kg and a block of mass m2 = 6.35 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of ? = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. (c) Determine the tensions in the string on both sides of the pulley.
A horizontal 810-N merry-go-round of radius 1.20 m is started from rest by a constant horizontal force of 55 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 2.0 s. (Assume it is a solid cylinder. Also assume the force is applied at the outside edge.)
A horizontal 810-N merry-go-round of radius 1.80 m is started from rest by a constant horizontal force of 55 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 2.0 s. (Assume it is a solid cylinder. Also assume the force is applied at the outside edge.)
A hollow metal ball is rolling with a linear speed of 2.50 m/s at the bottom of a hill. If the ball has a mass of 5.00 kg and a radius of 10.0 cm, what vertical height will the ball roll through before it's speed has been cut in half, assuming it rolls without slipping?