Two blocks `m_(1)` and `m_(2)` are connected with a compressed spring and placed on a smooth horizontal surface as shown in figure Force constant of spring is k under the influence of forces `f_(1)` and `f_(2)` at an instant blocks move with common acceleration `a_(0)` at that instant force `f_(2)` is suddenly withdraw Mark correct option

Options

A. Instantaneous acceleration of `m_(1)is a _(0) -F_(1)/m_(1)`
B. instantaneous acceleration of `m_(2) is a_(0) + F_(2)/m_(2)`
C. Instantaneous acceleration of `m_(1) is a_(1)=0`
D. instantaneous acceleration of `m_(2) is a_(0) =0`

Answer

B

Explanation

Spring force does not change instantaneously thus for `m_(1) ,a_(1)=a(0)`
` for m_(2) F_((s_(p))=m_(2)a_(2)`….(1)instantaneously aftr `f_(2)` is withdrawn
initially `F _(s_(p))-F_(2)=m_(2)a_(0)`
`F_(s)_(p)=F_(2)+m_(2)a_(0)` ….(2)
`from (1)and (2) a_(2)=F_(2)/m_(2)+a_(0)`