A particle of mass m moving with velocity v collides perfectly elastically with a particle of mass 2m at rest . loss of kinetic energy in collision will be
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Let velocity of system of particles after collision is v.
By law of momentum conservation.
μ=3mv
⇒v=u/3
Now, loss of kinetic energy =(Ki − Kf)
⇒ΔK=(1/2)μ^2 − (1/2)3m[u/3]^2
⇒ΔK=(1/2)μ^2−(1/6)μ^2
⇒ΔK=(1/3)μ^2
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