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Q.

A ball of mass m makes a head on elastic collision with a second ball (at rest) and rebounds with a speed equal to one – fourth of its original speed. What is the mass of the second ball?

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a

(7/3) m

b

(1/3) m

c

(3/5) m 

d

(5/3)m

answer is D.

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Detailed Solution

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Conservation of the momentum m1v1+m2v2=m1v1'+m2v2'  ∵v1'=−v14

mv1=m(−v14)+m2v2'      m2v2'=5mv14 

v1−v2=v2'−v1'v2'=v1+v1'=3v14             ∴ m2=5m3

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