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Question: A ball \(B_{1}\) of mass M moving northwards with velocity v collides elastically with another ball ...

A ball B1B_{1} of mass M moving northwards with velocity v collides elastically with another ball B2B_{2} of same mass but moving eastwards with the same velocity v. Which of the following statements will be true

A

B1B_{1}comes to rest but B2B_{2} moves with velocity 2v\sqrt{2}v

B

B1B_{1}moves with velocity 2v\sqrt{2}v but B2B_{2} comes to rest

C

Both move with velocity v/2v/\sqrt{2} in north east direction

D

B1B_{1}moves eastwards and B2B_{2} moves north wards

Answer

B1B_{1}moves eastwards and B2B_{2} moves north wards

Explanation

Solution

Horizontal momentum and vertical momentum both should remain conserve before and after collision. This is possible only for the (4) option.