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MIT 8.01 Physics I Classical Mechanics, Fall 1999 15 Online
OpenStudy (anonymous):

Need a good answer to this question so that i can compare my solutions to yours. A solid sphere with mass of 4.5 kg rolls without slipping on a horizontal plane with a translational speed of its center of mass of 4.8 m/s. It then rolls up an incline with an angle of 30° . a) What is its kinetic energy on the horizontal plane? b) How far does the sphere travel up along the incline? c) How high would the sphere travel when its mass would be 9.0kg?

OpenStudy (anonymous):

\[K = p ^{2}/2m\]

OpenStudy (anonymous):

So .. if p=mv, then p=4.5kg*4.8m/s=21.6 kg m/s

OpenStudy (anonymous):

and K would be (21.6)^2 / 9 = 51.84J

OpenStudy (anonymous):

That seems to take care of the horizontal (Question a)

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