Question

What is the gravitational potential energy of a `5 kg` object on a shelf `4/9 m` high?

Answer 1

`2xx10J`

Explanation:

Step 1
As physics calculations requires all values to be done in decimals, start by converting `4/9m` into decimal form.

`4/9mcolor(blue)(rArr)0.44m`

Step 2
To find the gravitational potential energy, we can use the formula:

`DeltaE_g`

`=E_"g,final"-E_"g,initial"`

`=mgh_f-mgh_i`

`=mg(h_f-h_i)`

Since `h_f` represents the final height of the object, then it must equal to `0.44m`. Similarly, since `h_i` represents the initial height of the object, then it must equal to `0m`.

Substituting the values into the formula,

`=(5kg)(9.81m/s^2)(0.44m-0m)`

`=21.58J`

`~~color(green)(|bar(ul(color(white)(a/a)color(black)(2xx10J)color(white)(a/a)|)))`