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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 the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to :

A

0.5

B

0.56

C

0.62

D

0.44

Text Solution

Verified by Experts

The correct Answer is:
b
KE loss=`1/2m(2v)^2+1/2(2m)v^2-1/2xx(3m)((2mvsqrt2)/(3m))^2=5/3mv^2`
required % =`(5/3mv^2)/(2mv^2+mv^2)xx100=56%`
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