A small block of mass m is place on top of a hill as shown in the figure at the right, a height h above a horizontal track. The hill is frictionless, but when the block reaches the horizontal track, there is a coefficient of friction, u. The block slides along the track for a distance L and comes to a stop. For this motion air resistance can be ignored. We will take the origin of the coordinate system to be at A, with x being the horizontal coordinate with positive to the right, and y being the vertical coordinate with positive up. We will choose our system to include the block, the hill, the surface with friction, and the Earth. The parameters of the problem are those shown in the figure: m, g, u, d, 4, d2, h, and 0. Also, the block has a speed vg at point B at the bottom of the hill. A d, B D

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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B. Use the parameters of the problem to write an expression for the known energy of the block at the top of the hill.
C. Use the parameters of the problem to write an expression for the known energy of the block at point B at the bottom of the hill.
D. Write an expression for the speed of the block at point at the bottom of the hill.
VB =
Transcribed Image Text:B. Use the parameters of the problem to write an expression for the known energy of the block at the top of the hill. C. Use the parameters of the problem to write an expression for the known energy of the block at point B at the bottom of the hill. D. Write an expression for the speed of the block at point at the bottom of the hill. VB =
m
A small block of mass m is place on top of a hill as shown in the figure at the right, a height h above a horizontal track. The hill is frictionless, but when the block reaches the horizontal track, there is a
coefficient of friction, µ. The block slides along the track for a distance L and comes to a stop. For this motion air resistance can be ignored. We will take the origin of the coordinate system to be at A,
with x being the horizontal coordinate with positive to the right, and y being the vertical coordinate with positive up. We will choose our system to include the block, the hill, the surface with friction, and
the Earth. The parameters of the problem are those shown in the figure: m, g, µu, d1, L, dɔ, h, and 0. Also, the block has a speed vp at point B at the bottom of the hill.
A d,
B L
D
Transcribed Image Text:m A small block of mass m is place on top of a hill as shown in the figure at the right, a height h above a horizontal track. The hill is frictionless, but when the block reaches the horizontal track, there is a coefficient of friction, µ. The block slides along the track for a distance L and comes to a stop. For this motion air resistance can be ignored. We will take the origin of the coordinate system to be at A, with x being the horizontal coordinate with positive to the right, and y being the vertical coordinate with positive up. We will choose our system to include the block, the hill, the surface with friction, and the Earth. The parameters of the problem are those shown in the figure: m, g, µu, d1, L, dɔ, h, and 0. Also, the block has a speed vp at point B at the bottom of the hill. A d, B L D
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