Determine the power of a machine that lifts a 200 kg hammer to a height of 0.75 m 120 times per minute.

Task data: m (weight of the hammer to be lifted) = 200 kg; h (lifting height) = 0.75 m; n (number of lifts) = 120 times; t (elapsed time) = 1 min (in SI t = 60 s).

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

The power of the machine used to lift the hammer is calculated by the formula: N = A / t1 = ΔEp / (t / n) = m * g * h * n / t.

Let’s make a calculation: N = 200 * 10 * 0.75 * 120/60 = 3 * 10^3 W (3 kW).

Answer: The power of the machine lifting the hammer is 3 kW.