Answer:
[tex]\boxed {\boxed {\sf 102.9 \ J}}[/tex]
Explanation:
Potential energy is the energy an object possesses due to position. The formula is:
[tex]PE= m \times g \times h[/tex]
where m is the mass, g is the acceleration due to gravity, and h is the height.
We know the book is 5 kilograms and is on a 2.1 meter high bookshelf. Since this is on Earth, the acceleration due to gravity is 9.8 meters per square second.
- m= 5 kg
- g= 9.8 m/s²
- h= 2.1 m
Substitute the values into the formula.
[tex]PE= 5 \ kg \times 9.8 \ m/s^2 \times 2.1 \ m[/tex]
Multiply the numbers together.
[tex]PE= 49 kg *m/s^2 *2.1 \ m[/tex]
[tex]PE= 102.9 \ kg*m^2/s^2[/tex]
- 1 kilogram square meter per square second ( 1 kg*m²/s²) is equal to 1 Joule (J).
- So, our answ er of 102.9 kg*m²/s² is equal to 102.9 J
[tex]PE= 102.9 \ J[/tex]
The book has 102.9 Joules of gravitational potential energy.
