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A hollow sphere of mass 0.22 kg and radius 0.03 m is rolling across the floor...

A hollow sphere of mass 0.22 kg and radius 0.03 m is rolling across the floor at velocity of 3.8 m/s. It then encounters an incline of θ = 16° when it starts to slow down as it rolls up the ramp.

What is the initial angular velocity of the hollow sphere before it starts to decelerate?

Considering up the ramp to be the positive direction, what is the magnitude of the linear and angular deceleration as the hollow sphere rolls up the hill?

How long will it take for the hollow sphere to stop?

How far will the hollow sphere go up the ramp before it stops?

Through how many radians will the hollow sphere turn before it stops?

How many revolutions will the hollow sphere make before it stops?

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