A ball of mass of 150g and velocity 12 `ms^(-1)` coming towards a batsman is hit by him with a force in such a way that the ball moves with velocity 30 `ms^(-1)` in the direction opposite to its original one. The time of contact between the ball and the bat is 0.01 s. Then the force applied on it by the batsman i s .......

Options

A. 63000 N
B. 480 N
C. 270 N
D. 630 N

Answer

D

Explanation

`Delta vec( p ) = mv_(2) - vec( mv )_(2)`
`=m(v_(2) - v_(1))`
`=0.15 |30hat(I ) - (-12 hat(j ))`
`=0.15[42hat(j )]`
`vec( F ) = (Delta vec(p ))/(Delta t )`
`=(6.3)/( 0 .01)`
`|vec(F ) | =630 N`