# What power does a climber weighing 80 kg develop when he ascends to a height of 500 m in 2 hours?

August 31, 2021 | education

| Given:

m = 80 kilograms the mass of a person;

h = 500 meters – the height to which the person climbed;

t = 2 hours – the time of the person’s ascent.

It is required to determine W (Watt) – the power developed by a person.

Let’s translate the units of time of power in the SI system:

t = 2 hours = 2 * 60 = 120 minutes = 120 * 60 = 7200 minutes.

Let’s find the work that a person does:

A = F * h = m * g * h, where g = 9.8 Newton / kilogram;

F = 80 * 9.8 * 500 = 784 * 500 = 392000 Joules.

Then the power will be equal to:

W = A / t = 392000/7200 = 54.4 Watts (the result has been rounded to one decimal place).

Answer: a person develops a power equal to 54.4 watts.

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