A 31 kN roller coaster starts from rest and is launched along a horizontal section of track. It takes 23 m to reach a speed of 29 m/s.

1) What force is applied to the roller coaster during the launch?

= 57770N

2) A meter measures the energy input into the motors during the launch as 0.696 kW-hour. What is the efficiency of the motors?

=53.03%

3) After the launch, the roller coaster goes straight up, shooting out of the mountain. A minimum speed of 6.1 m/s is required at the top.Assuming no losses, how high above the initial elevation can the coaster go?

=40.97m

4) As the coaster comes down the hill to the same elevation at which it started, it loses 20000 J of energy. What is the speed at the bottom of the hill?

5) After the run, the roller coaster comes into the station with a speed of 0.45 times the speed at the end of the launch. What percent of energy was lost during the run?