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20 November, 21:12

A 20 g bullet is fired horizontally with a velocity of 250 m/s from a 1.5 kg rifle. If the rifle was held loosely, what would be the recoil velocity?

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  1. 20 November, 21:39
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    3.33 m/s

    Explanation:

    given,

    mass of bullet, m = 20 g = 0.02 Kg

    speed of bullet, v = 250 m/s

    mass of rifle, M = 1.5 kg

    speed of recoil, u = ?

    initial speed of the bullet and the rifle is zero.

    using conservation of momentum

    (M + m) V = m v + M u

    (M + m) x 0 = 0.02 x 250 + 1.5 x u

    1.5 u = - 5

    u = - 3.33 m/s

    negative sign represent that the recoil velocity is opposite to bullet velocity.

    Hence, the recoil velocity is equal to 3.33 m/s
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