In the shown figure the magnitude of acceleration of centre of mass of the system is `(g =10 ms^(-2))`

Options

A. `4 ms^(-2)`
B. `10 ms^(-2)`
C. `2sqrt2ms^(-2)`
D. `5 ms^(-2)`

Answer

C

Explanation

`a_("system")=(5g -5mug)/((5+5))=(5xx10-(5xx0.2 xx10))/10=4m//s^2`
`a_(cm)=(m_1a_1+m_2a_2)/(m_1+m_2)=(5(4hati)+5(4hatj))/10=(5sqrt(4^2+4^2))/10=2sqrt2m//s^2`