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Work and mechanical energy

AP.PHYS: CON‑5.A (EU), CON‑5.A.2 (EK), CON‑5.A.2.1 (LO), CON‑5.A.3 (EK), INT‑3.E (EU), INT‑3.E.1 (EK), INT‑3.E.1.1 (LO), INT‑3.E.1.2 (LO), INT‑3.E.1.3 (LO), INT‑3.E.1.4 (LO)
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A 1, comma, 550, start text, k, g, end text roller coaster cart is pulled at a constant speed of 2, point, 3, start text, m, slash, s, end text to the top of a 53, point, 5, start text, m, end text tall ramp that has a 30, degrees incline. The coefficient of friction between the ramp and the roller coaster cart is μ, equals, 0, point, 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, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
start text, k, J, end text