At the top of a hill, a roller coaster has 67,500 J of kinetic energy and 290,000 J of potential energy. Gradually, the roller coaster comes to a stop due to friction. If the roller coaster has 30,000 J of potential energy when it stops, how much heat energy is generated by friction from the top of the hill until it stops?
used up 67,500 + 290,000 - 30,000 Joules
nope
To find the heat energy generated by friction, we need to calculate the initial total mechanical energy (kinetic + potential) and subtract the final total mechanical energy (potential energy when it stops).
Initial total mechanical energy = kinetic energy + potential energy
Initial total mechanical energy = 67,500 J + 290,000 J
Initial total mechanical energy = 357,500 J
Final total mechanical energy = potential energy when it stops
Final total mechanical energy = 30,000 J
Heat energy generated by friction = Initial total mechanical energy - Final total mechanical energy
Heat energy generated by friction = 357,500 J - 30,000 J
Heat energy generated by friction = 327,500 J
Therefore, the heat energy generated by friction from the top of the hill until the roller coaster stops is 327,500 J.
To find the amount of heat energy generated by friction, we need to calculate the difference between the initial total mechanical energy (kinetic energy + potential energy) and the final potential energy.
1. Start by adding the initial kinetic energy and potential energy of the roller coaster: 67,500 J + 290,000 J = 357,500 J.
2. Subtract the final potential energy from the initial total mechanical energy: 357,500 J - 30,000 J = 327,500 J.
Therefore, the amount of heat energy generated by friction from the top of the hill until the roller coaster stops is 327,500 J.