10_P08InstructorSolution

10_P08InstructorSolution - 10.8. Model: Model the ball as a...

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10.8. Model: Model the ball as a particle undergoing rolling motion with zero rolling friction. The sum of the ball’s kinetic and gravitational potential energy, therefore, does not change during the rolling motion. Visualize: Solve: Since the quantity g K U + does not change during rolling motion, the energy conservation equations apply. For the linear segment the energy conservation equation 0g 01g 1 K UK U += + is 2 11 1 2 mv mgy 2 00 1 2 mv mgy + 22 2 10 1 0 1 (0 m) (0 m/s) 2 m v mg m mgy mv mgy ⇒+ = + ⇒= For the parabolic part of the track, 1g 1 2g 2 K U +=+ is 2 2 2 1 2 1 2
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This note was uploaded on 12/10/2011 for the course PHYS 1211 taught by Professor Geller during the Fall '09 term at UGA.

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