From a rifle of mass 4 kg, a bulle of mass 50 g is fired with an initial velocity of 35 m s^-1. What is the the initial recoil velocity of the rifle?

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From a rifle of mass 4 kg, a bulle of mass 50 g is fired with an initial velocity of 35 m s^-1. What is the the initial recoil velocity of the rifle?

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Answer 1 · 2018-01-23T16:00:08

0.4375 m/s.

Explanation:

Assuming there are no external forces to the system, then the total linear momentum $p$ must be the same before and after the bullet was fired.

Since $p = mv$ , where $m$ and $v$ are the mass and velocity of a body with momentum $p$ , then prior to the bullet being fired, both rifle and the bullet itself are at rest, which means that $p_(before) = 0$ .

From momentum conservation, then, $p_(after) = 0$ . Therefore:

$m_(b)v_(b) + m_rv_r= 0$ , where the indices 'b' and 'r refer to the bullet and the rifle, respectively.

Then:

$50 * 10^-3 *35 + 4*v_r = 0$ ;

$1,75 + 4*v_r = 0$ ;

$v_r = -0.4375 m/s$ .

Note that the minus signal indicate that the rifle's velocity is opposite to the one of the bullet.

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From a rifle of mass 4 kg, a bulle of mass 50 g is fired with an initial velocity of 35 m s^-1. What is the the initial recoil velocity of the rifle?

1 Answer

Explanation:

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