A hanging weight, with a mass of m, 0.375 kg, is attached by a rope to a block with mass m, 0.875 kg as shown in the figure below. The rope 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 R₂ 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 black and the table is 0.250. At the instant shown, the block is moving with a velocity of v0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the rope does not stretch and does not slip on the pulley, and that the mass of the rope is negligible. 71 (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

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A hanging weight, with a mass of m, 0.375 kg, is attached by a rope to a block with mass m, 0.875 kg as shown in the figure below. The rope 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 R₂ 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 black and the table is , -0.250. At the instant shown, the block is moving with a velocity of
v0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the rope does not stretch and does not slip on the pulley, and that the mass of the rope is
negligible.
R₂ R
HEX
(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.
DETAILS
m/s
(b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance?
rad/s
MINUTES
MY NOTES
ASK YOUR TEACHER
A neutron in a nuclear reactor makes an elastic, head-on collision with the nucleus of a carbon atom initially at rest.
(a) What fraction of the neutron's kinetic energy is transferred to the carbon nucleus? (The mass of the carbon nucleus is about 12.0 times the mass of the neutron.)
(b) The initial kinetic energy of the neutron is 1.30 x 10 13 3. Find its final kinetic energy and the kinetic energy of the carbon nucleus after the collision.
neutron
carbon nucleus
Transcribed Image Text:ASK YOUR TEACHER - A hanging weight, with a mass of m, 0.375 kg, is attached by a rope to a block with mass m, 0.875 kg as shown in the figure below. The rope 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 R₂ 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 black and the table is , -0.250. At the instant shown, the block is moving with a velocity of v0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the rope does not stretch and does not slip on the pulley, and that the mass of the rope is negligible. R₂ R HEX (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. DETAILS m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s MINUTES MY NOTES ASK YOUR TEACHER A neutron in a nuclear reactor makes an elastic, head-on collision with the nucleus of a carbon atom initially at rest. (a) What fraction of the neutron's kinetic energy is transferred to the carbon nucleus? (The mass of the carbon nucleus is about 12.0 times the mass of the neutron.) (b) The initial kinetic energy of the neutron is 1.30 x 10 13 3. Find its final kinetic energy and the kinetic energy of the carbon nucleus after the collision. neutron carbon nucleus
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