Two blocks of masses `M_(1)` and `M_(2)` are connected to each other through a light spring as shown in figure. If we push mass `M_(1)` with force F and cause acceleration `a_(1)` in mass `M_(1)`. What will be the magnitude of accleration in `M_(2)`?

Options

A. `F//M_(2)`
B. `F//(M_(1) + M_(2))`
C. `a_(1)`
D. `(F-M_(1)a_(2))//M_(2)`

Answer

D

Explanation

`F - kx = M_(1)a_(1)` [Newton's II law for `M_(1)`]
`kx = M_(1)a_(2)` [Newton's II law for `M_(2)`]
By adding both equations,
`F = M_(1)a_(1) + M_(2)a_(2) rArr a_(2) = (F- M_(1)a_(1))/M_(2)`