task 1: work, power , and energy Look at the roller coaster track...

task 1: work, power , and energy

Look at the roller coaster track in this image. Assume no energy is lost to friction as the roller coaster travels around the track.

the total mass of the roller coaster is 650kg. use the measurements shown in the image and your knowledge of conservation of energy to answer the following questions.

1. show all of your work as your answer these questions.

a) if it takes a force of 2760N[parallel to the track]to pull the roller coaster up to point A, and it is pulled along 150m of track, find the work done on the roller coaster.

b)Find the total energy the roller coaster has at point A if it is at rest for a brief moment before it starts to go down the hill.

c) According to the Law of Conservation of Energy, what will the total energy of the roller coaster be at points B and C?

d) Use the Law of Conservation of Energy to find the speed of the roller coaster at point B.

e) if it takes the roller coaster 3 minutes to travel around the track, find the power of the roller coaster.

f)in real life, some of the energy the roller coaster has at point A will be lost as thermal energy due to friction as it travels through the track. If the speed of the roller coaster at point C is only 19m/s, calculate the amount of energy that was lost due to friction.