Question

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?

Answer 1

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`