A) v
B) \[v/3\]
C) \[v/2\]
D) zero
Correct Answer: C
Solution :
Let mass of each body be m. Their motion is represented as shown in figure. The velocity of centre of mass is \[{{V}_{CM}}=\frac{{{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}}{{{m}_{1}}+{{m}_{2}}}\] \[\Rightarrow \] \[{{V}_{CM}}=\frac{m\times 2v-mv}{m+m}=\frac{v}{2}\] (the direction of motion of first particle is taken as positive) So, velocity of centre of mass of the system is v in the direction of motion of particle having larger speed.You need to login to perform this action.
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