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Question

A ball of mass m moving with a speed u undergoes a head-on elastic collision with a ball of mass nm initially at rest. The fraction of the incident energy, transferred to the heavier ball is :
  1. n1+n
  2. n(1+n)2
  3. 2n(1+n)2
  4. 4n(1+n)2

A
2n(1+n)2
B
n1+n
C
n(1+n)2
D
4n(1+n)2
Solution
Verified by Toppr

mv=mv1+nmv2,(Conservationofmeomentum)
v0=v2v1i.e.,v1=v2v(e=1)
mv=mv+mv2(1+n)v2=2v1+n
K.E.mv2
The fraction of the incident energy, transferred to the heavier ball is=nm(2v1+n)2mv2=4n(1+n)2

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