Answer:
[tex]\boxed {\boxed {\sf 7526.4 \ J}}[/tex]
Explanation:
Gravitational potential energy is energy due to position above the ground. It is found using the following formula.
[tex]GPE= mgh[/tex]
where m is the mass, g is the acceleration due to gravity, and h is the height.
The cart is 32 kilograms and it is on a 24 meter hill. Assuming this is on earth, the acceleration due to gravity is 9.8 meters per square second.
[tex]m= 32 \ kg \\g= 9.8 \ m/s^2 \\h= 24 \ m[/tex]
Substitute the values into the formula.
[tex]GPE= (32 \ kg)(9.8 \ m/s^2)(24 \ m)[/tex]
Multiply the first two numbers.
[tex]GPE=313.6 \ kg*m/s^2 (24 \ m)[/tex]
Multiply again.
[tex]GPE= 7526.4 \ kg*m^2/s^2[/tex]
- 1 kg*m²/s² is equal to 1 Joule.
- Our answer is also 7526.4 Joules.
[tex]GPE= 7526.4 \ J[/tex]
The cart's gravitational potential energy is 7526.4 Joules.
