The Outlaw Run roller coaster in Branson, Missouri, features a track that is inc

Question

The Outlaw Run roller coaster in Branson, Missouri, features a track that is inclined at 84 below the horizontal and that spans a 49.4-m (162 ft) change in height.

Part A If the coefficient of friction for the roller coaster is k=0.25, what is the magnitude of the friction force on a 1800-kg coaster train?(Express your answer to two significant figures and include appropriate units.)

Part B How much work is done by friction during the time the coaster train travels along the incline? (Express your answer to two significant figures and include appropriate units.)

Part C What is the speed of the coaster train at the bottom of the incline, assuming it started from rest at the top?(Express your answer to two significant figures and include appropriate units.)

Explanation / Answer

A) friction f = µ*m*g*cos
f = 0.25 * 1800kg * 9.8m/s² * cos84º = 460.97 N

=460 N
to two significant digits.

B) d = h / sin = 49.4m / sin84º = 49.67 m, so
work = f * d = 460N * 49.67m = 22849 = 23000 J
to two significant digits.

C) final KE = initial PE - friction
½mv² = mgh - work
½ * 1800kg * v² = 1800kg * 9.8m/s² * 49.4m - 22849J=30.133
v = 30.7 m/s

v= 31 m/s

Hope it will help you please rate the anser.

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