Potential Energy and Conservation of Problem 8.43 Resources T previous 8 of 19 l

Question

Potential Energy and Conservation of Problem 8.43 Resources T previous 8 of 19 l ne Problem 8.43 The outlaw Run roller coaster in Branson. Missouri. features a track that is inclined at 81 o below the horizontal and that spans a 49.4 m (162 ft change in height. Part A f the coefficient of friction for the roller coaster is Auk 0.30, what is the magnitude of the friction force on a 1600-k coaster train? Express your answer to two significant figures and include appropriate units. Value Units Submit My Answers Give Up Part B muoh Mrnm ji done hy friction during the time the coaster train travels along the incline

Explanation / Answer

I'm solving first one because images are not proper..

A)

friction f = µ*m*g*cos

f = 0.30 * 1600kg * 9.8m/s^2 * cos81º

f = 816.84 N

B)

d = h / sin

d = 49.4m / sin81

d = 50 m,

work = f * d = 816.84N * 50m = 40842 J

C)

final KE = initial PE - friction

1/2mv^2 = mgh - work

1/2 * 1600kg * v^2 = 1600kg * 9.8m/s^2 * 49.4m - 40842J

v = 30.285 m/s

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