The highest mobile crane is capable of lifting 30 tons of cargo to a height of 160 m at a speed of 2 m / s.

The highest mobile crane is capable of lifting 30 tons of cargo to a height of 160 m at a speed of 2 m / s. What work does he do and what power does he develop?

Given: m (cargo weight) = 30 t (in SI m = 30 * 10 ^ 3 kg); V (lifting speed) = 2 m / s; h (lifting height) = 160 m.

Constants: by condition g (gravitational acceleration) = 9.8 m / s2.

1) The work performed by the highest mobile crane: A = ΔEп = m * g * h = 30 * 10 ^ 3 * 9.8 * 160 = 47.04 * 10 ^ 6 J (47.04 MJ).

2) Crane power: N = F * V = m * g * V = 30 * 10 ^ 3 * 9.8 * 2 = 588 * 10 ^ 3 W (588 kW).

Answer: The highest mobile crane performed 47.04 MJ and developed a power of 588 kW.