at the top of a hill a rollercoaster has 67,500j of kinectic energy and 290,000j of potential energy. gradually the rollercoaster comes to a stop due to friction. If the rollercoaster has 30,000j of potential energy when it stops, how much heat energy is generated by friction from the top of the hill until it stops?
Please put the correct school subject for the correct volunteer teacher! It is NOT 9th grade.
Sra
To find the heat energy generated by friction, we need to calculate the total mechanical energy lost by the rollercoaster as it comes to a stop.
The total mechanical energy of an object is the sum of its kinetic energy and potential energy.
Given:
Initial kinetic energy = 67,500 J
Initial potential energy = 290,000 J
Final potential energy = 30,000 J
To find the change in mechanical energy, we can subtract the final potential energy from the sum of the initial kinetic energy and initial potential energy:
Change in mechanical energy = (Initial kinetic energy + Initial potential energy) - Final potential energy
= (67,500 J + 290,000 J) - 30,000 J
= 357,500 J - 30,000 J
= 327,500 J
Therefore, the change in mechanical energy is 327,500 J, which represents the amount of energy lost due to friction. This energy is converted into heat energy generated by friction.