Falling, Bouncing and Hitting at the same place
Some small balls are dropped from a certain height H on to a fixed hemisphere of radius R near the vertical axis. After collision with surface they bounce up and come down and hit at the lowest point of hemisphere.
IF H = AR/B
Find A+B given they are co-prime positive integers.
Details
1.)The collision is elastic.
2.)Balls do not hit each other
3.)Balls are removed as soon as they hit the lowest point of hemisphere.
Hint
1.)Make small approximations.
The answer is 9.
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