In technology to this day, an off-system unit of measurement of power is used – horsepower (1hp = 736W)

In technology to this day, an off-system unit of measurement of power is used – horsepower (1hp = 736W) How long can it take to lift a horse weighing 400kg to the 12th floor if the power of the lifting mechanism is 1hp?

Given:

h = 3 meters – the height of each floor;

n = 12 – number of floors;

m = 400 kilograms – the weight of the horse to be lifted;

g = 10 m / s ^ 2 – acceleration of gravity;

N = 1 HP = 736 watts – power of the lifting mechanism.

It is required to determine the time it will take to lift the horse t (seconds).

Let’s find the work that needs to be done to raise the horse:

A = F * S = m * g * h * n = 400 * 10 * 3 * 12 = 144,000 Joules.

Then:

t = A / N = 144000/736 = 195.7 seconds.

Answer: a horse can be lifted to the 12th floor in 195.7 seconds.