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The next two questions pertain to the situation described below. A box of mass ࠵?=5.3kg is pulled with constant velocity up an inclined plane for distance ࠵?=2m. It is pulled by a rope with tension ࠵?and which is parallel to the ramp. The ramp makes an angle of ࠵?=31°with respect to the horizontal. The kinetic coefficient of friction between the box and the plane is ࠵?!=0.29. 1.(8 points) How much work is done on the box by gravity as the box is pulled up the ramp a distance ࠵?? a.࠵?࠵?࠵?sin࠵?b.−࠵?࠵?࠵?sin࠵?c.࠵?࠵?࠵?cos࠵?d.−࠵?࠵?࠵?cos࠵?e.−࠵?࠵?࠵?tan࠵?2.(8 points) How much work is done on the box by the rope as the box is pulled up the ramp a distance ࠵?? a.There is no way to know since the tension in the rope is not given. b.࠵?!"#$=15.5J c.࠵?!"#$=25.8J d.࠵?!"#$=79.4J e.࠵?!"#$=53.6J
The next three questions pertain to the situation described below. A box of mass ࠵?=3kg is initially held at rest near the top of a ramp that makes an angle of ࠵?=35°with respect to the horizontal. The static and kinetic coefficients of friction between the box and the plane are ࠵?!=0.5and ࠵?!=0.35respectively. When the box is released it accelerates down the ramp and is observed to have a speed ࠵?!=2.025m/s when it is a distance ࠵?from its starting point. 3.(4 points) The total work done on the box by all forces as it slides down the ramp is: a.Greater than zero. b.Equal to zero. c.Less than zero. 4.(8 points) What is the value of ࠵?? a.࠵?=1.27m b.࠵?=0.21m c.࠵?=1.47m d.࠵?=0.73m e.࠵?=1.72m 5.(4 points) What was the speed of the box when it was a distance ࠵?/2from its starting point?