Two men decide to use their cars to pull a truck stuck in mud. They attach ropes and one pulls with a force of 802 N at an angle of 29◦ with respect to the direction in which the truck is headed, while the other car pulls with a force of 1099 N at an angle of 23◦ with respect to the same direction.
What is the net forward force exerted on the truck in the direction it is headed?
Answer in units of N
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Verified answer
well sum of the forces
Fx = 802cos29 + 1099cos23
Fy= 802sin29 + 1099sin23
F = sqrt( Fx^2 + Fy^2)
F = sqrt(2934642 + 669501)
F will be 1898.458239 N, and tangent is opposite over adjascent (toa) so tan-1(Fy/Fx)
theta will be 25.53 degrees