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28 May, 08:04

A 12.70 g bullet has a muzzle velocity (at the moment it leaves the end of a firearm) of 430 m/s when rifle with a weight of 25.0 N. Calculate the recoil speed (in m/s) of the rifle.

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  1. 28 May, 09:24
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    V = 2.14 m/s

    Explanation:

    Given,

    The mass of the bullet, m = 12.7 g

    = 0.0127 Kg

    The velocity of the bullet, v = 430 m/s

    The weight of the rifle, w = 25 N

    ∴ The mass of the rifle, M = 25/9.8

    = 2.55 Kg

    According to the law of conservation of momentum,

    MV + mv = 0

    Therefore, the recoil velocity of the gun

    V = - mv/M

    Substituting the given values in the above equation

    V = - 0.0127 x 430 / 2.55

    = - 2.14 m/s

    The negative sign indicates the direction of V with respect to v.

    Hence, the recoil velocity of the gun is, V = 2.14 m/s
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