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Two men decide to use their cars to pull a truck stuck in mud. They attach ropes and one pulls with a force of 821 N at an angle of 32◦ with respect to the direction in which the truck is headed, while the other car pulls with a force of 1140 N at an angle of 26◦ with respect to the same direction.

What is the net forward force exerted on the truck in the direction it is headed?

User Darpet
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1 Answer

5 votes

Answer:

1737.8 N

Step-by-step explanation:

Given information


F_1= 821 N


F_2= 1140 N


\theta_1=32^(\circ)


\theta_2=26^(\circ)

Net force,
F_(net)=F_1 cos \theta_1+F_2 cos \theta_2=821cos 32^(\circ)+ 1140 cos 26^(\circ)=1737.833662 N \approx 1737.8 N

User Danielito
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8.5k points