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Work and mechanical energy

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Problem

A 1,550kg roller coaster cart is pulled at a constant speed of 2.3m/s to the top of a 53.5m tall ramp that has a 30 incline. The coefficient of friction between the ramp and the roller coaster cart is μ=0.075.
A roller coaster ramp slopes up from left to right. The vertical height at the top of the incline is labeled fifty three point five meters. A roller coaster cart is shown near the bottom of the ramp. An arrow labeled tow cable extends from the cart and points up the ramp.
Calculate the work done by friction on the roller coaster cart during its motion up the ramp.
Write your answer to three significant figures.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
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