Physics: How much power is required for a 60 kg student to walk up 40 m of stairs in 90 seconds?

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How much power is required for a 60 kg student - id601077738, reetajmahfouz3816

Ответ:

probablyacommunist

13.03.2022

Physics

The energy that the student shoud use in order to climb the stairs is equal to its increase in gravitational potential energy:
$W= \Delta U= mg \Delta h$
where m is the mass of the student, g the gravitational acceleration and $\Delta h$ the variation of height. Plugging numbers into the equation, we find
W=(60 kg)(9.81 m/s^2)(40 m)=23544 J

The power required for the student to climb the stairs is equal to the work done divided by the time taken:
$P= \frac{W}{t}= \frac{23544 J}{90 s}=262 W$