A ball of mass 10 g moving perpendicular to the plane of the wall strikes it and rebounds in the same line with the same velocity. If the impulse experienced by the wall is 0.54 Ns, the velocity of the ball is

Options

A. `27 ms ^(-1) `
B. `3.7 ms ^(-1)`
C. `54 ms ^(-1)`
D. `37 ms ^(-1)`

Answer

A

Explanation

Given,
`Delta p = 0. 54 N -s`
`m = 10 xx 10 ^(-3) k.g `
Impulse `Delta p = mv - (-mv)`
`Dela p = 2 mv`
`0.54=2 xx 1 xx 10 10 ^(-3) xx v`
`v= ( 0.54)/(2 xx 10 ^(-2))`
`implies v = (54)/(2)`
`v = 27m//s`