net work Gone on the package 6.11 A 128.0-N carton is palled up a frictionless b

Question

net work Gone on the package 6.11 A 128.0-N carton is palled up a frictionless baggage ramp inclined at 30.0° above the horizonsal by a rope exerting a T20-N ( pull parallel to the ramp's surface. If the carton travels 5.20 m i along the surface of the ramp, calculate the work done on it by (a) the rope, (b) gravity, and (c) the normal force of the ramp. d) What is the net work done on the carton? (e) Suppose that the rope is angled at 50.0P above the horizontal, instead of being par- allel to the ramp's surface. How much work does the rope do on the carton in this case? 612 A boxed 10.0-kg computer monitor is dragged by fric-

Explanation / Answer

Weight W = 128 N

theta = 30 degree

T = 72 N

a) Work done by the tension force = T*d = 72*5.2 = 374.4 J

b) Workdone by gravity force = -mg sin(theta)*d = -128*sin(30 deg)*5.2 = -332.8 J

c) The work done by the normal force is zero because the displacement is perpendicular to the force.

d) Net work done = 374.4 - 332.8 = 41.6 J

e) In this case the work done will be Tcos(theta1-theta2)*d = 72*cos(20 deg)*5.2 = 351.8 J

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