With a uniform rise from the mine of a bucket loaded with coal weighing 10.5 tons

With a uniform rise from the mine of a bucket loaded with coal weighing 10.5 tons, work was performed at 6200 kJ. What is the depth of the mine?

Data: the movement of the coal-loaded bucket is uniform; m (bucket weight) = 10.5 t (in SI m = 10.5 * 10 ^ 3 kg); A (work performed) = 6200 kJ (6200 * 10 ^ 3 J).

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

To determine the depth of the mine, we apply the formula: A = ΔEp = m * g * h, whence h = A / (m * g).

Calculation: h = 6200 * 10 ^ 3 / (10.5 * 10 ^ 3 * 10) = 59 m.

Answer: The depth of the mine is 59 meters.