From a height of 5m a ball is thrown vertically downwards with an initial velocity of 10m/s towards a hard horizontal floor. If it bounces to the same height the coefficient of restitution is (g=10ms−2)
A
12
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B
1√2
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C
14
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D
23
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Solution
The correct option is B1√2 e=v2−v1u1−u1u2=0,v2=0,u1=?,v1=?u21=u2+2ghu1=√100+2×10×5=10√2m/sv1=√2gh=√2×10×5=10m/s∴e=−1010√2=1√2