Determine the power of the machine that lifts a 200kg hammer to a height of 75cm 120 times per minute.

Initial data: m (weight of the raised hammer) = 200 kg; h (lifting height) = 75 cm (0.75 m); n (number of times the hammer is lifted) = 120 times; t (running time) = 1 min (60 s).

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

The power that the machine develops when lifting the hammer is determined by the formula: N = A / t = F * h * n / t = m * g * h * n / t.

Calculation: N = 200 * 10 * 0.75 * 120/60 = 3000 W (3 kW).

Answer: When lifting the hammer, the machine develops a power of 3 kW.



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