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

ID: 1899582 • Letter: T

Question

Two workers are trying to move a heavy crate. One pushes on the crate with a force , which has a magnitude of 329 newtons (N) and is directed due west. The other pushes with a force , which has a magnitude of 351 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.

Explanation / Answer

a) magn. = sqrt(329^2 + 351^2) = 481.0842 N b) angle = arctan(351/329) = 46.853 degree north of west c) magn. = sqrt(329^2 + 351^2) = 481.0842 N d) angle = arctan(351/329) = 46.853 degree south of west