A ball of mass 50 g moving at a speed of 2.0 m/s strikes a placne surface at an angle of incidence `45^0`. The ball is reflected by the plane at equal angle of reflection with the same speed. Calculate a. the magnitude of the change in momentum of the ball b. the change in the magnitude of the mometum of the ball.

Explanation

`Mass=50g=0.05kg`
`v=(2cos 45^0)veci-2sin45^0vecj`
`v_1=-2cos45^0veci-2sin45^0vecj`
a. Change in momentum `=mvecv-mvecv_1`
`0.05(2cos45^0veci-2sin45^0vecj)-`
`0.05-(-2cos45^0veci-2sin45^0vecj)`
`=0.1cos45^0vec-.1sin45^0veci+`
`0.1cos45^0veci+` ,Brgt `0.1cos45^0veci+0.1sin45^0vecj` ltbr. `=0.2cos45^0vecj`
`:. Magnitude =0.2/sqrt2=0.2828/2`
b The chasnge in magnitude of the momentum of the ball
`|vecP_2|-|vecP_1|-2xx0.5-2xx0.5=0`