A particle of mass m moving with velocity v collides with a stationary particle of mass 2 m . After…

A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they stick together and continue to move together with velocity
  1. v3
  2. v4
  3. v
  4. v2

Solution

The law of conservation of momentum is given as

m1u+m2u'=m1+m2v'

The given data is 

u=vu'=0 m s-1m1=mm2=2m

Using the conservation of momentum equation,

mv+2m(0)=(m+2m)v'v'=mv3m=v3

Asked in: JEE Main 2023 (10 Apr Shift 1)

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