A bullet flies out of the rifle at a speed of 700 m / s, the rifle, upon recoil, acquires a speed of 1.6 m / s.
| April 28, 2021 | education
A bullet flies out of the rifle at a speed of 700 m / s, the rifle, upon recoil, acquires a speed of 1.6 m / s. determine the mass of the rifle if the mass of the bullet is 10 g.
Initial data: V1 (the speed with which the bullet leaves the rifle barrel) = 700 m / s; V2 (rifle velocity after firing) = 1.6 m / s; m1 (bullet mass) = 10 g = 0.01 kg.
According to the law of conservation of momentum:
m1 * V1 – m2 * V2 = (m1 + m2) * V1.2.
Since before the shot V1.2 = 0 m / s, the expression will take the form: m1 * V1 – m2 * V2 = 0 and m1 * V1 = m2 * V2.
m2 = m1 * V1 / V2.
We calculate the mass of the rifle: m2 = 0.01 * 700 / 1.6 = 4.375 kg = 4 kg 375 g.
Answer: The mass of the rifle is 4 kg 375 g.
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