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

##### 1 Answer

May 19, 2016

#### Answer:

#### Explanation:

**Step 1**

As physics calculations requires all values to be done in decimals, start by converting

#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 *final* height of the object, then it must equal to *initial* height of the object, then it must equal to

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)|)))#