Rotational Motion Question 1
Question: Two identical particles move towards each other with velocity 2v and v respectively. The velocity of centre of mass is
[AIEEE 2002]
Options:
A) v
B) $ v/3 $
C) $ v/2 $
D) zero
Show Answer
Answer:
Correct Answer: C
Solution:
- [c] Let mass of each body be m.
The velocity of centre of mass is $ V _{CM}=\frac{m _1v _1+m _2v _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.
