At a county fair truck pull, two pickup trucks are attached to the back end of a

Question

At a county fair truck pull, two pickup trucks are attached to the back end of a monster truck as illustrated in the figure. One of the pickups pulls with a force of 4000 pounds and the other pulls with a force of 1500 pounds with an angle of 45 degree between them. With how much force must the monster truck pull in order to remain unmoved? (Hint: Find the resultant force of the two trucks.) The monster truck must pull with approximately pounds of force. (Round to the nearest hundred pounds as needed.)

Explanation / Answer

use cosine law

resultant force2=force12+force22-2*force1*force 2*cos45

(4000)2+(1500)2-2*4000*1500*0.707

3125.06 N

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