Two identical particles move towards each other with velocity 2v and v , respectively . The velocity of the centre of mass is [AIEEE 2002]
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Explanation :- Let mass of each body be m their motion is represented as shown in figure .
Vcm = m₁v₁+ m₂v₂/m₁+m₂
Vcm = m×2v-mv/m+m
Vcm = V/2 Answer .
[The direction of motion of first particle is taken as positive ]
so, velocity of centre of mass of the system is V/2
⟹ In the direction of motion of particle having larger speed .
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