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A 392 N wheel comes off a moving truck a...

A 392 N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at 50 rad`//`s. The radius ofthewheel is 0.6m, and its moment of inertia about its rotation axis is `0.8MR^(2)`. Friction does 3000 J of work on the wheel as it rolls up the hill to a stop a height h above the bottom of the hill. Calculate h.

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The correct Answer is:
[29.1 m]
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PHYSICS GALAXY - ASHISH ARORA-RIGID BODIES AND ROTATIONAL MOTION-Unsolved Numerical
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