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A block of mass 0.50kg is moving with a ...

A block of mass `0.50kg` is moving with a speed of `2.00m//s` on a smooth surface. It strikes another mass of `1 kg` at rest and they move as a single body. The energy loss during the collision is

A

`1.00 J`

B

`0.67 J`

C

`0.34 J`

D

`0.16 J`

Text Solution

Verified by Experts

The correct Answer is:
B
`0.5xx2=(1+0.5)v`
`v=(1)/(1.5)=(2)/(3)`
Energy loss `=K_(i)-k_(f)`
`=(1)/(2)xx0.5xx2^(2)-(1)/(2)xx1.5((2)/(3))^(2)`
`1-(6)/(18)=1-(1)/(13)=(2)/(3)=0.67J`
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