Two ropes are attached to a heavy box to pull it along the floor. One rope appli

Question

Two ropes are attached to a heavy box to pull it along the floor. One rope applies a force of 255 newtons (N) in a direction due west; the other applies a force of 502 N in a direction due south. As we will see later in the text, force is a vector quantity. (a) How much force should be applied by a single rope, and (b) in what direction (as a positive angle relative to due west), if it is to accomplish the same effect as the two forces added together? A= ? B= ? I'll give a good rating to who can explain how to get the answer to this question!

Explanation / Answer

(a) Force Equivalent = sqrt{(255)² + (502)²}
= 563 N ---> Answer

(b) Direction
= arctan 502/255
= 63.07° S of W ---> Answer

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