Problem 7.06 A 129.6 N carton is pulled up a frictionless baggage ramp inclined
ID: 3280306 • Letter: P
Question
Problem 7.06 A 129.6 N carton is pulled up a frictionless baggage ramp inclined at 28.0° above the horizontal by a rope exerting a 72.2 N pull parallel to the ramp's surface. The carton travels 6.15 m along the surface of the ramp Part A Calculate the work done on the carton by the rope Express your answer using three significant figures. Submit My Answers Give Up Part B Calculate the work done on the carton by the gravity. Express your answer using three significant figures. Submit My Answers Give Up Part C Calculate the work done on the carton by the normal force of the ramp. Express your answer using three significant figures. Submit My Answers Give Up Part D What is the net work done on the carton? Express your answer using three significant figures. Submit My Answers Give Up Part E Suppose that the rope is angled at 45.4 above the horizontal, instead of being parallel to the ramp's surface. How much work does the rope do on the carton in this case?Explanation / Answer
Given,
Weight of carton, G = 129.6 N,
angle, = 28o,
F = 72.2 N,
distance, d = 6.15 m,
A) Wrope = F d cos(0) = 72.2 x 6.15 x 1 = 444.03 J
B) Wgravity = G d cos(90 + ) = 129.6 x 6.15 x cos(118) = -374.19 J
C) WN = N d cos(90) = 0
D) Wnet = Wrope + Wgravity + WN = 69.84 J
E) Wrope = F x d cos(45.4 - 28) = 72.2 x 6.15 x cos(20) = 423.71 J
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