6. DETAILS R₂ R₁ mo R A hanging weight, with a mass of m₁ = 0.355 kg, is attached by a rope to a block with mass m₂ = 0.855 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 R₁ = 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 block and the table is μ = 0.250. At the instant shown, the block is moving with a velocity of v₁ 0.820 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. = my MY NOTES ASK YOUR TEACHER (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s (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

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6.
DETAILS
R₂ R₁
mo
R
A hanging weight, with a mass of m₁ = 0.355 kg, is attached by a rope to a block with mass m₂ = 0.855 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 R₁ = 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 block and the table is μ = 0.250. At the
instant shown, the block is moving with a velocity of v₁ 0.820 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.
=
my
MY NOTES
ASK YOUR TEACHER
(b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance?
rad/s
(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
Transcribed Image Text:6. DETAILS R₂ R₁ mo R A hanging weight, with a mass of m₁ = 0.355 kg, is attached by a rope to a block with mass m₂ = 0.855 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 R₁ = 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 block and the table is μ = 0.250. At the instant shown, the block is moving with a velocity of v₁ 0.820 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. = my MY NOTES ASK YOUR TEACHER (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s (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
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