A ball of mass m is thrown in air with speed `v_(1)` from a height `h_(1)` and it is at a height `h_(2)(gth_(1))` when its speed becomes `v_(2)` . Find the work done on the ball the air resistance.

Explanation

Work done on the ball by gravity is
`W_g=-mg(h_2-h_1)`
Let work done on the ball by air resistance be `W_(air)`
`:. W_g+W_(air)=DeltaKE`
`implies-mg(h_2-h_1)+W_(air)=1/2m(v_2^2-v_1^2)`
`implies W_(air)=mg(h_2-h_1)+1/2m(v_2^2-v_1^2)`