Answer:
[tex]\boxed {\boxed {\sf 100 \ Joules}}[/tex]
Explanation:
Gravitational potential energy can be found using the following formula.
[tex]E_p=m*g*h[/tex]
where m is the mass, g is the gravitational acceleration, and h is the height.
The mass of the ball is 2 kilograms, its height is 5 meters, and the acceleration due to gravity is 10 Newtons per kilogram.
[tex]m= 2 \ kg \\h= 5 \ m \\g= 10 \ N/kg[/tex]
Substitute the values into the formula.
[tex]E_p=(2 \ kg)(10 \ N/kg)(5 \ m)[/tex]
Multiply the first 2 numbers. The kilograms (kg) will cancel out when multiplying.
[tex]E_p=(20 \ N)(5 \ m)[/tex]
Multiply again.
[tex]E_p=100 \ N*m[/tex]
- 1 Newton meter is equal to 1 Joule
- Therefore, 100 N*m= 100 J
[tex]E_p= 100 \ J[/tex]
The gravitational potential energy of the ball is 100 Joules.
