A mass of 100 g strikes the wall with speed `5 m//s` at an angle as shown in figure and it rebounds with the same speed it the contact time is `2 xx 10^(-3) sec`. What is the force applied on the mass by the wall :

Options

A. `250 sqrt3 N` to right
B. 250 N to right
C. `250 sqrt3` N to left
D. 250 N to left

Answer

C

Explanation

Change in momentum `= F xx t =` Impulse
`implies F = (2mvsin theta)/t = (2mvsin 60^@)/(t)`
`implies (2xx100 xx10^(-3) xx5 xxsqrt3/2)/(2xx10^(-3)) " " [:. sin 60^@ = sqrt3/2]`
`implies 250 sqrt3N` to left.