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

Answer:

1737.8 N

Explanation:

Given information

$F_1= 821 N$

$F_2= 1140 N$

$\theta_1=32^{\circ}$

$\theta_2=26^{\circ}$

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