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A body of mass 2 kg makes an elastic col...

A body of mass 2 kg makes an elastic collision with another body at rest and continues to move in the original direction but with one - fourth its original speed . What is the mass of the body it collides with ?

A

0.75 kg

B

1.0 Kg

C

1,2 Kg

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D

For the object of mass 2.0 kg.
`(Deltak)/(k)=(4m_(1)m_(2))/((m_(1)+m_(2))^(2))`
Here,`m_(1)`=2.0 kg,`m_(2)=M`
`therefore (3)/(4)=(4xx2M)/((2+M)^(2))impliesM=(2)/(3)kg` or 6kg
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