When lifting from the mine a bucket loaded with coal weighing 10 tons, a work of 6400 kJ

When lifting from the mine a bucket loaded with coal weighing 10 tons, a work of 6400 kJ was performed. What is the depth of the mine?

To calculate the depth of the mine in question, we use the formula: A = ΔEp = m * g * h, whence h = A / (m * g).

Values of constants and variables: A – work on lifting the bucket (A = 6400 kJ = 6400 * 10 ^ 3 J); m is the mass of the bucket (m = 10 t = 10 * 10 ^ 3 kg); g – acceleration due to gravity (g ≈ 10 m / s2).

Let’s perform the calculation: h = A / (m * g) = 6400 * 10 ^ 3 / (10 * 10 ^ 3 * 10) = 64 m.

Answer: The mine in question has a depth of 64 m.