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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?

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opudodennis

Answer:

1737.8 N

Explanation:

Given information

[tex]F_1= 821 N[/tex]

[tex]F_2= 1140 N[/tex]

[tex]\theta_1=32^{\circ}[/tex]

[tex]\theta_2=26^{\circ}[/tex]

Net force, [tex]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[/tex]

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