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
Show Answer
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} $
