Question

2.1.2 quiz: types of energy question 10 of 10 a crane raises a crate with a mass of 180 kg to a height of 15 m. given that the acceleration due to gravity is 9.8 m/s², what is the crates potential energy at this point? a. 1,152 j b. 198,450 j c. 276 j d. 26,460 j

Explanation:

Step1: Recall the formula for gravitational potential energy

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

Step2: Identify the given values

We are given that $m = 180\space kg$, $g = 9.8\space m/s^2$, and $h = 15\space m$.

Step3: Substitute the values into the formula

Substitute $m = 180$, $g = 9.8$, and $h = 15$ into the formula $PE = mgh$:
$$PE = 180\times9.8\times15$$
First, calculate $180\times9.8 = 1764$. Then, calculate $1764\times15 = 26460$.

Answer:

D. 26,460 J