A system consists of two identical particles. One particle is at rest and the other particle has an acceleration a. The centre of mass of the system has an acceleration of:

Options

A. 2a
B. a
C. `a/2`
D. `a/4`

Answer

C

Explanation

`a_(CM)=(m_1a_1+m_2a_2)/(m_1+m_2)`
`m_1=m_2=m, a_1=0 ,a_2 =a:. a_(CM) = (ma)/(2m)=a/2`