Given:
• Mass, m = 45.3 g
,• Height, h = 31 cm
Let's find the potential energy.
To find the otential energy, apply the formula below:
[tex]PE=m\ast g\ast h[/tex]Where:
PE is the potential energy in Joules
m is the mass in kg
g is acceleration due to gravity = 9.8 m/s²
h is the height in meters
• Convert the Mass from grams to kilograms:
Where 1 kg = 1000g
[tex]45.3g=\frac{45.3}{1000}=0.0453\text{ kg}[/tex]• Convert the height from cm to meters:
Where 1 m = 100 cm
[tex]31\operatorname{cm}=\frac{31\operatorname{cm}}{100}=0.31m[/tex]Hence, we have:
[tex]PE=0.0453\ast9.8\ast0.31[/tex]Solving further, we would get:
[tex]PE=0.1376214\text{ Joules }\approx0.138\text{ Joules}[/tex]Therefore, the potential energy is approxiamtely 0.138 Joules.
ANSWER:
0.138 Joules