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 599 newtons (N) and is directed due west. The other pushes with a force , which has a magnitude of 399 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

Given that

force A=599 N

force B=399 N

now we find the resultant force C=A+B

resultant force C=[599^2+399^2]^1/2=719.7 N

direction =tan^-1[399/599]=33.7 degree

now we find the resultant force C=A-B

resultant force C=[599^2+399^2]^1/2=719.7 N

direction =tan^-1[599/399]=56.3 degree

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