What average power does a person develop when lifting a 100 kg load to a height of 2 m in 2 s?
April 1, 2021 | education
| Given:
m = 100 kilograms – the mass of the load that the person lifts;
g = 10 m / s2 – free fall acceleration;
h = 2 meters – the height to which the load is lifted;
t = 2 seconds – the period of time during which the load is lifted.
It is required to determine W (Watt) – the power developed by a person.
In order to lift a load, a person must apply a force equal to:
F = m * g.
Then the work of this force will be equal to:
A = F * h = m * g * h.
The power will be equal to:
W = A / t = m * g * h / t = 100 * 10 * 2/2 = 1000 * 2/2 = 1000 watts.
Answer: a person develops a power equal to 1000 watts.
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