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

Question

In the figure here, a block of ice slides down a frictionless ramp at angle ?=54.0 ? while an ice worker pulls on the block (via a rope) with a force that has a magnitude of 59.0 N and is directed up the ramp. As the block slides down through distance d = 0.500 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 ?=54.0 ? while an ice worker pulls on the block (via a rope) with a force that has a magnitude of 59.0 N and is directed up the ramp. As the block slides down through distance d = 0.500 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

Well, that's easy! The rope does work
W = F * d = 59N * 0.500m = 29.5 J
Had the rope not been there, the KE would have increased by 29.5 J !

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