A roller-coaster car is at the top of a hill. The car and its passengers have a combined mass of 1,088 kilograms. If the hill is 62 meters tall, how much potential energy does the car have?
1)1,158J
2) 661,068.8J
3)67,456J
4)330,534.4J
To calculate the potential energy of the roller-coaster car at the top of the hill, we can use the formula:
Potential Energy = Mass * Gravity * Height
Where:
- Mass is the combined mass of the car and its passengers (1,088 kg)
- Gravity is the acceleration due to gravity (approximated as 9.8 m/s^2)
- Height is the height of the hill (62 m)
Potential Energy = 1,088 kg * 9.8 m/s^2 * 62 m
Potential Energy = 661,068.8 J
Therefore, the correct answer is:
2) 661,068.8J