m = 20 tons is the mass of the steam hammer;
h = 120 centimeters – the height to which you want to raise the steam hammer;
g = 10 N / kg (Newton per kilogram) – acceleration due to gravity (approximate value).
It is required to determine A (Joule) – the work that needs to be done to lift the hammer.
Since the condition of the problem is not specified, the air resistance is not taken into account.
We translate the units of measurement of mass and length into the SI system:
m = 20 tons = 20 * 10 ^ 3 = 20,000 kilograms;
h = 120 cm = 120 * 10 ^ -2 = 1.2 meters.
Then, to calculate the perfect work, you need to use the following formula:
A = m * g * h = 20,000 * 10 * 1.2 = 20,000 * 12 = 240,000 Joules (240 kJ).
Answer: To raise the steam hammer to a height of 120 centimeters, you need to do work equal to 240,000 Joules.
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