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In the figure here, a block of ice slides down a frictionless ramp at angle ? =5

ID: 2142036 • Letter: I

Question

In the figure here, a block of ice slides down a frictionless ramp at angle ?=58.0 ? while an ice worker pulls on the block (via a rope) with a force that has a magnitude of 55.0 N and is directed up the ramp. As the block slides down through distance d = 0.42 m along the ramp, its kinetic energy increases by 81.0 J. How much greater would its kinetic energy have been if the rope had not been attached to the block?

In the figure here, a block of ice slides down a frictionless ramp at angle ?=58.0 ? while an ice worker pulls on the block (via a rope) with a force that has a magnitude of 55.0 N and is directed up the ramp. As the block slides down through distance d = 0.42 m along the ramp, its kinetic energy increases by 81.0 J. How much greater would its kinetic energy have been if the rope had not been attached to the block?

Explanation / Answer

If I understand the question correctly, the worker is pulling up the ramp but the block still moves downward, which implies that the worker is being pulled backwards (but it doesn't really say this).

If that is correct, even though he is moving backwards, the worker imparts work energy against the block equal to:

Energy = F*d = (55N)*(0.42m) = 23.1J which is how much more the kinetic energy should have been if he had not been pulling.

Hope this helps.

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