A bullet with a mass of m = 10gr, flying at a speed of v = 800m / s. falls into a hanging

A bullet with a mass of m = 10gr, flying at a speed of v = 800m / s. falls into a hanging bag of sand with a mass of m = 10kl. and gets stuck in it. find the initial velocity of the bullet bag.

To determine the required initial speed of the considered bag with a bullet, we will use the law of conservation of momentum: V * (mm + mp) = mp * Vp and V = mp * Vp / (mm + mp).

The values of the variables: mp – bullet mass (mp = 10 g; in SI mp = 0.01 kg); V is the speed of the bullet before hitting the bag (V = 800 m / s); mm is the mass of the sand bag (mm = 10 kg).

Let’s calculate: V = 0.01 * 800 / (10 + 0.01) = 0.7992 m / s ≈ 0.8 m / s.

Answer: The initial speed of the bag with a bullet in question is 0.8 m / s.