Two workers are trying to move a heavy crate. One pushes on the crate with a for

Question

Two workers are trying to move a heavy crate. One pushes on the crate with a force A, which has a magnitude of 448 newtons (N) and is directed due west. The other pushes with a force B, which has a magnitude of 267 N and is directed due north. What are (a) the magnitude and (b) direction of the resultant force A + B applied to the crate? Suppose that the second worker applies a force -B instead of B. What then are (c) the magnitude and (d) direction of the resultant force A - B applied to the crate? In both cases express the direction as a positive angle relative to due west.

Explanation / Answer

F= 448i + 267j a.mag=521.52 b.dir= tan^-1(267/448)=30.79 F2=448i - 267j c.mag=521.52 d dir=329.21

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