Aman takes 20 seconds to climb 5m up a ladder. he weighs 720n. calculate the power he must deliver to do this.

The man must deliver a power of 180W, to climb up the ladder.

Given the data in the question

First we calculate the work done by the man.

Work done = force × distance

We know that If an object is lifted straight up at constant speed, the force required to lift that object is equal to its weight.

Hence, weight of the man is the same as the force required to life him up the ladder.

Now, the power required for this work.

Power is the quantity of energy transferred or converted per unit time

We substitute in our values

Therefore, The man must deliver a power of 180W, to climb up the ladder.

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180 W

Explanation:

The work done by the man against gravity is equal to its gain in gravitational potential energy:

where

(mg) = 720 N is the weight of the man

is the change in height

Substituting,

The power he must deliver is given by

where

W = 3600 J

t = 20 s is the time taken

Substituting,

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