When the roller coaster car has a mass of 900 kg including its passenger it is released from rest at the top of the hill?

Answer 1

When the roller coaster car, with a mass of 900 kg, is released from rest at the top of the hill, it begins to convert its gravitational potential energy into kinetic energy as it descends. The potential energy at the top is given by the formula ( PE = mgh ), where ( m ) is the mass, ( g ) is the acceleration due to gravity (approximately 9.81 m/s²), and ( h ) is the height of the hill. As the car descends, it accelerates due to gravity, gaining speed until it reaches the bottom of the hill, where its kinetic energy is maximized. The overall energy of the system remains conserved, assuming negligible friction and air resistance.