A projectile weighing 100 kg flies horizontally at a speed of 750 km / s and, hitting a platform with sand

| June 15, 2021 | education

A projectile weighing 100 kg flies horizontally at a speed of 750 km / s and, hitting a platform with sand weighing 15 tons, gets stuck in the sand. At what speed did the platform begin to move from the push?

To find the speed of the platform movement, the push field, we will use the law of conservation of momentum: mc * Vc = (mc + mc) * V, whence we express: V = mc * Vc / (mp + mc).

The values of the variables: mс is the mass of the projectile (mс = 100 kg); Vс – speed of the projectile before hitting the platform (Vс = 750 m / s); mp is the mass of the platform with sand (mp = 15 t = 15 * 10 ^ 3 kg).

Let’s perform the calculation: V = mc * Vc / (mp + mc) = 100 * 750 / (15 * 10 ^ 3 + 100) = 4.97 m / s.

Answer: The platform with sand from the push will start moving at a speed of 4.97 m / s.



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