y=H- y=0 m x=0 zero friction m x = D/2 nonzero friction x = D X Two small blocks with mass m are placed on a ramp. If the x and y axes are chosen as indicated in the figure, the initial position of the first mass is (0, H) and the initial position of the second mass is (D/2, H/2). Both blocks are initially at rest. Between x = 0 and x = D/2 there is no friction. Between a = D/2 and a =D there is kinetic friction between the blocks and the ramp with kinetic friction coefficient μk. When the first block reaches the second block, they collide. The collision is fully inelastic. The acceleration of gravity is g. Calculate the final speed of the blocks when they reach the end of the ramp at a = D. Express your answer in the given quantities μ, H, D, and g. You can regard the blocks as point masses so that their dimensions are neglected. Assume the friction coefficient μ is small enough so that the blocks don't come to a stop before reaching the end of the ramp.

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Chapter1: Units, Trigonometry. And Vectors
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y=H.
y = 0
m
x = 0
zero friction
E
x = D/2
nonzero friction
x = D
X
Two small blocks with mass m are placed on a ramp. If the x and y axes are chosen as indicated in the figure,
the initial position of the first mass is (0, H) and the initial position of the second mass is (D/2, H/2). Both
blocks are initially at rest.
Between x = 0 and x = D/2 there is no friction.
Between x = D/2 and x = D there is kinetic friction between the blocks and the ramp with kinetic friction
coefficient μ.
When the first block reaches the second block, they collide. The collision is fully inelastic.
The acceleration of gravity is g.
Calculate the final speed of the blocks when they reach the end of the ramp at x = D. Express your answer in
the given quantities μz, H, D, and g.
You can regard the blocks as point masses so that their dimensions are neglected.
Assume the friction coefficient is small enough so that the blocks don't come to a stop before reaching the
end of the ramp.
Transcribed Image Text:y=H. y = 0 m x = 0 zero friction E x = D/2 nonzero friction x = D X Two small blocks with mass m are placed on a ramp. If the x and y axes are chosen as indicated in the figure, the initial position of the first mass is (0, H) and the initial position of the second mass is (D/2, H/2). Both blocks are initially at rest. Between x = 0 and x = D/2 there is no friction. Between x = D/2 and x = D there is kinetic friction between the blocks and the ramp with kinetic friction coefficient μ. When the first block reaches the second block, they collide. The collision is fully inelastic. The acceleration of gravity is g. Calculate the final speed of the blocks when they reach the end of the ramp at x = D. Express your answer in the given quantities μz, H, D, and g. You can regard the blocks as point masses so that their dimensions are neglected. Assume the friction coefficient is small enough so that the blocks don't come to a stop before reaching the end of the ramp.
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