A 300kg roller coaster at an amusement park is at rest on top ofa 30m hill (Point A). The car starts to roll down the hill andreaches point B, which is 10m above the ground, and then rolls upthe track to point C, which is 20m above the ground.
a) Assuming no energy is lost and using energy arguments, howfast is the cart moving at point C?
b) What is the total mechanical energy of the roller coaster atpoint B (Use the ground as the locaiton where potentialenergy=0)
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
If the final speed at point C is actually measured to be 12m/s,
a) How much energy is lost?
b) Where did this energy go?
