A 128 N carton is pulled up a frictionless baggage ramp inclined at 30.0 degrees

Question

A 128 N carton is pulled up a frictionless baggage ramp inclined at 30.0 degrees above the horizontal by a rope exerting a 72.0 N pull parallel to the ramp's surface. If the carton travels 5.20 m along the surface of the ramp, calculate the work done on it by the rope, gravity, and the normal force of the ramp.



Express your answer using three significant figures.
Wgravity =____________ J




Part C -
Express your answer using three significant figures.
WN = _________ J



Part D -
What is the net work done on the carton?
Express your answer using two significant figures.
W net = _____________ J


Part E -
Suppose that the rope is angled at 50.0^circ 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?
Express your answer using three significant figures.
W rope =_____________J

Explanation / Answer

G = 128 N, = 30.0o, F = 72.0 N, d = 5.20 m,
use work = force * displacement * cos(angle betweenforce and displacement)
A) Wrope = F*d*cos(0) = 72.0*5.20*1 = 374.4 J
B) Wgravity = G*d*cos(90 + ) = 128*5.20*cos(120) =-332.8 J
c) WN = N*d*cos(90) = 0
D) Wnet = Wrope + Wgravity+ WN = 41.6 J
E) Wrope = F*d*cos(50 - 30) = 72.0*5.20*cos(20) =351.8 J

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