A farm tractor tows a 3800-kg trailer up a 17 ?incline with a steady speed of 3.
ID: 1593519 • Letter: A
Question
A farm tractor tows a 3800-kg trailer up a 17 ?incline with a steady speed of 3.0 m/s.
What force does the tractor exert on the trailer? (Ignore friction.)
Assume that positive x axis is directed toward the direction of motion. Express your answer using two significant figures.
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Find the magnitude of the horizontal force, F? , needed to give the cart an acceleration of 1.45 m/s2 .
Express your answer using two significant figures.
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With what force should the second crewman pull so that the net force of the two crewmen is in the forward direction?
Express your answer using two significant figures.
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A shopper pushes a 7.6-kg shopping cart up a 13 ?incline, as shown in the figure
Find the magnitude of the horizontal force, F? , needed to give the cart an acceleration of 1.45 m/s2 .
Express your answer using two significant figures.
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Two crewmen pull a raft through a ln in the figure(Figure 1) . One crewman pulls with a force of 130 N at an angle of 34 ? relative to the forward direction of the raft. The second crewman, on the opposite side of the lock, pulls at an angle of 45 ?
With what force should the second crewman pull so that the net force of the two crewmen is in the forward direction?
Express your answer using two significant figures.
DOUBLE COUPON DAY SALE TODAY!Explanation / Answer
The force required is the gravity that has to be overcome.
F = mg sin17 = 3800 * 9.81 * sin17 = 10899.03 N
F=ma
F=7.6*1.45
F= 11.02 N
cos 13 = .97437
F req = 11.309 N for acceleration
force of gravity to overcome=
sin 13 = .225
.225* 9.81*7.6= 16.775
*.97437=17.195
17.195+11.02 = 28.215 N
The sum of the components of force in the direction of motion of the boat must be greater than zero. Hence for the maximum value
F sin 45 = 130 sin 34
F = 130 sin 34 / sin 45 =102.80 N
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