Question

Given a crate with the weight of 50.0 N resting on a shelf with a height of 2.00 m above the floor. Which of these expressions will yield the gravitational potential energy of the crate relative to the floor in SI units?A) 50 times 9.8 times 2B)50C) 50 times 2D) 50 times 4E) 50 times 9.8 times 4

Answer 1

We are given an object that has a weight of 50.0 N. It is located at a height of 2.00 m. The gravitational potential energy if given by the following formula:

`U=\text{mgh}`

Where:

`\begin{gathered} U=\text{ gravitational potential energy},\lbrack J\rbrack \\ m=\text{ mass},\lbrack kg\rbrack \\ g=\text{ acceleration of gravity},\lbrack9.8(m)/(s^2)\rbrack \\ h=\text{ height},\lbrack m\rbrack \end{gathered}`

The weight of the object is given by:

`W=\text{ mg}`

Where:

`W=\text{ weight,}\lbrack N\rbrack`

Substituting in the formula for the gravitational potential energy:

`U=Wh`

Now, we plug in the values:

`W=50*2`

Therefore, the right answer is C.