What power does a 40 kg boy develop when climbing stairs in 10 seconds to a height of 5 m?
September 15, 2021 | education
| Given:
m = 40 kilograms – the weight of a boy climbing stairs;
t = 10 seconds – the time it takes for the boy to rise;
h = 5 meters – lifting height;
g = 9.8 Newton / meter – acceleration of gravity.
It is required to determine W (Watt) – what power the boy develops.
Let’s find the force of gravity acting on the boy:
F = m * g = 40 * 9.8 = 392 Newtons.
Then, assuming that the boy rises evenly, he performs work equal to:
A = F * h = 392 * 5 = 1960 Joules.
The power will be equal to:
W = A / t = 1960/10 = 196 watts.
Answer: the boy develops a power equal to 196 watts.
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