The truck crane lifting a load weighing 1.5 m performed the work of 22.5 kJ. to what height is the load

The truck crane lifting a load weighing 1.5 m performed the work of 22.5 kJ. to what height is the load raised at the same time

Initial data: m (mass of the cargo lifted by the truck crane) = 1.5 t (1.5 * 10 ^ 3 kg); A (useful work done by the truck crane) = 22.5 kJ (22.5 * 10 ^ 3 J).

Reference data: g (acceleration due to gravity) ≈ 10 m / s2.

We determine the height to which the truck crane lifted the load from the formula for calculating the mechanical work: A = F * S = m * g * h, whence h = A / (m * g).

Calculation: h = 22.5 * 10 ^ 3 / (1.5 * 10 ^ 3 * 10) = 1.5 m.

Answer: The truck crane lifted the load to a height of 1.5 m.