# From a gun weighing 9 tons, a projectile weighing 90 kg was shot in the horizontal direction

January 12, 2021 | education

| **From a gun weighing 9 tons, a projectile weighing 90 kg was shot in the horizontal direction, which acquired a speed of 300 m / s relative to the ground. What speed did the gun acquire?**

According to the law of conservation of momentum (the change in the momentum of the system is equal to zero), we have the following expression:

m * v = M * V, where v is the speed of the projectile, m is its mass, V is the speed of the gun, M is its mass.

Then (the mass of the tool must be expressed in kilograms):

V = m * v / M = 90 * 300/9000 = 3 m / s.

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