how much potential energy was converted into thermal energy (heat)?
A new ride being built at an amusement park includes a vertical drop of 71.6 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. If the velocity at the bottom of the drop is 10.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg, how much potential energy was converted into thermal energy (heat)?
2.3 x 107 J
2.6 x 107 J
4.3 x 107 J
6.7 x 107 J
3.5x104kg is actually 3.5x10^4kg
- WhomeLv 74 weeks agoFavorite Answer
Initial potential energy = mgh = 3.5x10^4(9.8)(71.6) = 24.6x10^6 J
Kinetic energy at the bottom = ½mv² = ½(3.5x10^4)10.0² = 1.75x10^6 J
Energy converted to heat = 24.6x10^4 - 1.75x10^4 = 22.8x10^6 J
which rounds to your possible answer of 2.3x10^7J