Question

an initially stationary 15.0kg crate of cheese wheels is pulled via a cable a distance of 5.70m up a frictionless ramp to a height of 2.5m, where it stops. What is the potential energy of the crate after it is lifted? How much work is done during the lift? If it takes 10 seconds to lift the crate, what is the power rating of the lifting device?

Answer 1

Answer:

The potential energy is 367.5 J and power is 36.75 W.

Explanation:

Given that,

Mass of a crate, m = 15 kg

It is lifted to a height of 2.5 m

We need to find the potential energy of the crate after it is lifted. It is given by the formula as follows :

$E=mgh\\\\E=15\ kg\times 9.8\ m/s^2\times 2.5\ m\\\\E=367.5\ J$

If time, t = 10 s, Power is given by :

$P=\dfrac{E}{t}\\\\P=\dfrac{367.5}{10}\\\\P=36.75\ W$

So, the potential energy is 367.5 J and power is 36.75 W.