Friday, April 28, 2006

Is it lame to think up physics/calculus problems when you're bored?

Ok, don't answer that question. You might be wondering about the picture above.

Consider that there are two racetracks built for balls to roll across as pictured above (viewed from the side as a spectator)

Assume the tracks are of equal length, and the half circle bumps you see are both perfectly circular and the same diameter, so that each track is a mirror image of the other.

If the balls pictured on the tracks begin to roll at the same rate of speed, and are of equal mass and volume, which ball will roll off the end of its track first? Which ball will be travelling more quickly when it does?

Sorry about that.

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