Question

Suppose a 185 kg motorcycle is heading toward a hill at a speed of 32 m/s. The two wheels weigh 12 kg each and are each annular rings with an inner radius of 0.280 m and an outer radius of 0.330 m

**Part (a)** How high can it coast up the hill, if
you neglect friction in m?

**Part (b)** How much energy is lost to friction if
the motorcycle only gains an altitude of 39 m before coming to
rest?

Answer #1

Kinetic energy of motorcycle at the bottom is equal to gravitational potential energy ( mgh ) at top. m is mass of motorcycle, h is maximum height attained.

Kinetic energy = Translational kinetic energy + Rotational kinetic energy of wheels.

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