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Re: Rolling AP Problem



) Ron Curtin <curtin@oven.ccds.charlotte.nc.us> writes:
Some students and I in my AP C-level high school course are trying a
problem from the 1994 mechanics test. A ball, rolling along a level
surface, encounters an incline. In the first case, we have no trouble
calculating the velocity of the ball at the top of the incline. Then,
the >question asks how fast the ball would be going if the incline was
frictionless. Would it be faster, slower, or the same speed as if it
did pure rolling up the incline in the first part of the problem?
Thanks.

Try solving this problem from an energy point of view. As the ball rises
along the incline, there is a loss of kinetic energy that is equal to
a gain of gravitational potential energy AND a gain of of heat energy
due to friction.

Herb Gottlieb from New York City
(Where rolling balls roll slower when they lose kinetic energy)

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