Question

question 7 of 10
a crane raises a crate with a mass of 150 kg to a height of 20 m. given that the acceleration due to gravity is 9.8 m/s², what is the crates potential energy at this point?
a. 29,400 j
b. 720 j
c. 306 j
d. 294,000 j

Explanation:

Step1: Recall potential - energy formula

The formula for gravitational potential energy is $U = mgh$, where $m$ is the mass, $g$ is the acceleration due to gravity, and $h$ is the height.

Step2: Identify given values

We are given that $m = 150\ kg$, $g=9.8\ m/s^{2}$, and $h = 20\ m$.

Step3: Substitute values into formula

$U=150\times9.8\times20$.
First, $150\times9.8 = 1470$.
Then, $1470\times20=29400\ J$.

Answer:

A. 29400 J