What is the power of a hoist that lifts a load weighing 24 kN to a height of 20 m in 2 minutes?

Given:
P = 24 kN = 24000 Newton – the weight of the load, which is lifted with a hoist;
h = 20 meters – the height to which the load is lifted;
t = 2 minutes – the time during which the load is lifted.
It is required to determine W (Watt) – the power developed by the hoist.
Let’s convert the units of measurement of time to the SI system:
t = 2 minutes = 2 * 60 = 120 seconds.
The work done by the hoist will be equal to:
A = P * h = 24000 * 20 = 480,000 Joules.
Then, to determine the power of the lift, you must use the following formula:
W = A / t = 480,000 / 120 = 48,000 / 12 = 4000 watts.
Answer: the lift develops a power equal to 4000 watts (4 kW).