A hockey player receives a corner shot at a speed of `15 m//s` at angle `30^(@)` with `y`-axis and then shoots the ball along `x`-axis with the speed `30 m//s`. If the mass of the ball is `150 g` and it remains in contact with the hockey stick for `0.01 s`, the force exerted on the ball along `x`-axis is

Options

A. `281N`
B. `187.5N`
C. `562.5N`
D. `375N`

Answer

C

Explanation

`F_(x)=(/_\P_(x))/(/_\t)=(mv_(2x)-mv_(1x))/(/_\t)=(m(v_(2x)-v_(1x)))/(/_\t)`
`=((150xx10^(-3))[30-(-15sin30^(@))])/(0.01)`
`=((150xx10^(-3))(30+7.5))/(0.01)=562.5N`