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A particle of mass m moving in the x dir...

A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in they y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to :

A

`56%`

B

`62%`

C

`44%`

D

`50%`

Text Solution

Verified by Experts

The correct Answer is:
A

(1) `2mvhati+2mvhatj=3mvec"v"`
(2) `vec"v"=(2)/(3)vhati+(2)/(3)vhatj`
(3) `K_(i)=(1)/(2)mxx(2v)^(2)+(1)/(2)3mv^(2)=3mv^(2)`
(4) `K_(f)=(1)/(2)xx3mxx(8)/(9)v^(2)=(4)/(3)mv^(2)`
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