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A projectile of mass m is fired with a v...

A projectile of mass `m` is fired with a velocity `v` from point P at an angle `45^@`. Neglecting air resistance, the magnitude of the change in momentum leaving the point P and arriving at Q is

A

zero

B

`mv/sqrt(2)`

C

`mvsqrt(2)`

D

2mv

Text Solution

Verified by Experts

The correct Answer is:
C
`Deltap = p_(f)-p_(i) = m(v_(f)-v_(i)`
`=m[(v/sqrt(2))hat(i) - (v/sqrt(2))hat(j))-(v/sqrt(2))hat(i)+(v/sqrt(2))hat(j))]`
`-sqrt(2)mvhat(j)`
`therfore |Deltap| = sqrt(2)mv`
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