A ball of mass 0.2 ~kg is thrown vertically upwards by applying a force by hand. If the hand moves 0.2 ~m while applying the force and the ball goes upto 2 ~m height further, find the magnitude of the force. (Consider .g=10 ~m / s ^ 2 ).

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Correct answer: D. 22 ~N

Let the velocity of the ball just when it leaves the hand is u then applying, array l v^ 2 -u^ 2 =2 a for upward journey \ -u^ 2 =2(-10) 2 \ u^ 2 =40 array Again applying v^ 2 -u^ 2 =2 a s for the upward journey of the ball, when the ball is in the hands of the thrower, array l v^ 2 -u^ 2 =2 a s \ 40-0=2(a) 0.2 \ a=100 ~m / s ^ 2 \ F =m a=0.2 100=20 ~N \ N -m g=20 \ N =20+2=22 ~N array

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