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 , which has a magnitude of 444 newtons (N) and is directed due west. The other pushes with a force , which has a magnitude of 107 N and is directed due north. What are (a) the magnitude and (b) direction of the resultant force + applied to the crate? Suppose that the second worker applies a force - instead of . What then are (c) the magnitude and (d) direction of the resultant force - applied to the crate? In both cases express the direction as a positive angle relative to due west. (a) Number Units (b) Number Units north of west (c) Number Units (d) Number Units south of west

Explanation / Answer

mag = sqrt(444^2 + 107^2) = 456.71 direction: tanQ = 107/ 444 Q = 13.54 degrees north of west

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