Jamie B.

# Work and Energy

The figure below shows a roller coaster. The 500 kg carriage is pulled up the first incline from ground level at A to the first peak at B. From here it then rolls freely from rest under the influence of gravity.

a) Describe the energy transformations involved when the cart travels from B to C.

i) If the track is frictionless:
Moving from A to B: __________________________
Moving from B to C: __________________________
Moving from C to D: __________________________
ii) If we included friction:
Moving from A to B: __________________________
Moving from B to C: __________________________
Moving from C to D: __________________________

b) If no friction forces are present, how fast will the cart be moving at location C?

c) Upon reaching location C the card continues to roll freely to location D. How much gravitational potential energy does the cart gain from C to D?

d) Based on your answer above, how much kinetic energy does the cart lose from C to D? Where did the kinetic energy go?
e) What is the final speed of the cart at location D?

f) In reality, we will always have friction. The final speed of the cart at location D is found to be only 13 m/s. What is the total amount of mechanical energy (both potential and kinetic) at location D?

g) How much energy was “lost” overall from location B to D?

h) Efficiency is a percentage that describes how much energy was conserved as “useful” energy between B and D. What is the efficiency of this coaster?

Arturo O.

Without the figure, it is difficult for a tutor to answer the questions.
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11/22/16