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A sphere with a mass of 8kg and diameter of 25cm is initially on top of...

A sphere with a mass of 8kg and diameter of 25cm is initially on top of a ramp at rest with an angle of 30 degrees with a base length of 5 meters. The sphere rolls down the ramp with an initial velocity of 3 m/s.

a) What is the final velocity of the sphere at the bottom of the ramp if the coefficient of friction is 0.3 [I=2/5 mr^2]

b) Calculate the revolutions per second of the sphere from when it leaves the top of the ramp and when it reaches the bottom of the ramp

c) How far does the sphere roll into the grassfield before it comes to the stop if the grassfield has a coefficient of friction of 0.6?

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