Work Energy And Power Question 323

Question: A particle of mass m collides inelastically with another particle of mass 3m which is at rest. After the collision first particle comes to rest. Then choose the wrong answer

Options:

A) coefficient of restitution between the particles is $ 1/3 $

B) loss of kinetic energy during collision is $ ( 1/3 )mv^{2} $

C) velocity of second particle after collision is $ v/3 $ .

D) all of these

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Answer:

Correct Answer: D

Solution:

[d] From conservation of linear momentum velocity of second particle after collision would be

$ \frac{V}{3} $ Coefficient of restitution is

$ e=\frac{relativevelocityofseparation}{relativevelocityofapproach}=\frac{V/3}{V}=\frac{1}{3} $

Loss in kinetic energy

$ =\frac{1}{2}vV^{2}-\frac{1}{2}(3m){{( \frac{V}{3} )}^{2}}=\frac{1}{3}mV^{2} $



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