A body of mass 2 kg moving on a horizonta

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A body of mass $2\, kg$ moving on a horizontal surface with an initial velocity of $4 \,m/sec$ comes to rest after $2\, sec$. If one wants to keep this body moving on the same surface with a velocity of $4\, m/sec$, the force required is ........ $N$

A

$8$

B

$4$

C

$0$

D

$2$

A body of mass $2\, kg$ moving on a horizontal surface with an initial velocity of $4 \,m/sec$ comes to rest after $2\, sec$. If one wants to keep this body moving on the same surface with a velocity of $4\, m/sec$, the force required is ........ $N$

$u = 4\;m/s$, $v = 0,\;t = 2\sec $

$v = u + at$ $⇒$ $0 = 4 + 2a$ $⇒$ $a = - 2\,m/{s^2}$

$\therefore $ Retarding force$ = ma = 2 \times 2 = 4\,N$

This force opposes the motion. If the same amount of force is applied in forward

direction, then the body will move with constant velocity.