Two crewmen pull a raft through a lock, as shown in the figure(Figure 1) . One c
ID: 1323697 • Letter: T
Question
Two crewmen pull a raft through a lock, as shown 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 ? .
Part A
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.
Two crewmen pull a raft through a lock, as shown 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 ? . Part A 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.Explanation / Answer
Two crewmen pull a boat through a lock. The first pulls with a force of 130 N at an angle of 34 degrees relative to the forward direction of the boat.
The force of 130 N applied by the crewman can be divided into its components, one in the forward direction of the boat that is equal to 130*cos 34 and the other in a perpendicular direction equal to 130*sin 34. If the force applied by the second crewman is F, it can be divided into its components, F*cos 45 in the forward direction of the boat and F*sin 45 in a perpendicular direction.
If the net force of the two should be only in the forward direction, the components F*sin 45 and 130*sin 34 should be equal.
F*sin 45 = 130*sin 34
F=130*(sin34/sin45)
F=130*0.790818
F=102.80 N
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