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Question: A heavy steel ball of mass greater than 1 kg moving with a speed of 2\(m\sec^{- 1}{}\)collides head ...

A heavy steel ball of mass greater than 1 kg moving with a speed of 2msec1m\sec^{- 1}{}collides head on with a stationary ping-pong ball of mass less than 0.1 gm. The collision is elastic. After the collision the ping-pong ball moves approximately with speed

A

2msec12m\sec^{- 1}{}

B

4msec14m\sec^{- 1}{}

C

2×104msec12 \times 10^{4}m\sec^{- 1}{}

D

2×103msec12 \times 10^{3}m\sec^{- 1}{}

Answer

4msec14m\sec^{- 1}{}

Explanation

Solution

We know that when heavier body strikes elastically with a lighter body then after collision lighter body will move with double velocity that of heavier body. i.e. the ping pong ball move with speed of 2×2=4 m/s2 \times 2 = 4 \mathrm {~m} / \mathrm { s }