The speed of a freely falling body with a mass of 250 g on a certain segment of the path increased

The speed of a freely falling body with a mass of 250 g on a certain segment of the path increased from 1 to 9 m / s. Find the work of gravity along the way.

To calculate the magnitude of the work of gravity on a certain segment of the path of the specified body, we will use the formula: A = ΔEk = 0.5 * m * (Vk ^ 2 – Vn ^ 2).

Variables: m is the mass of the indicated body (m = 250 g = 0.25 kg); Vк – the achieved speed (Vк = 9 m / s); Vн – initial speed (Vн = 1 m / s).

Calculation: A = 0.5 * m * (Vk ^ 2 – Vn ^ 2) = 0.5 * m * (Vk ^ 2 – Vn ^ 2) = 0.5 * 0.25 * (9 ^ 2 – 1 ^ 2) = 0.125 * 80 = 10 J.

Answer: The work of gravity on a certain segment of the path of the specified body is 10 J.