# A projectile weighing 100 kg flies at a speed of 100 m / s

October 6, 2021 | education

| **A projectile weighing 100 kg flies at a speed of 100 m / s horizontally, hits a stationary cart weighing 400 kg and gets stuck in it. How fast will the cart move after interaction?**

To find the speed of the trolley after interacting with the projectile, we apply the law of conservation of momentum: V * (mt + mc) = mc * Vc, whence we express: V = mc * Vc / (mt + mc).

Values of the variables: mt – bogie weight (mt = 400 kg); mс is the mass of the projectile (mс = 100 kg); Vс – speed of the projectile before hitting a stationary cart (Vс = 100 m / s).

Let’s calculate: V = mc * Vc / (mt + mc) = 100 * 100 / (400 + 100) = 20 m / s.

Answer: The cart should start moving at a speed of 20 m / s.

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