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 vector A , which has a magnitude of 465 newtons and is directed due west. The other pushes with a force vector B , which has a magnitude of 350 newtons and is directed due north.

(a) What are the magnitude and direction of the resultant force vector A + vector B applied to the crate? (Express the direction relative to due west.)
Magnitude_________N
direction______° (North/South) of west

(b) Suppose that the second worker applies a force -vector B instead of vector B . What then are the magnitude and direction of the resultant force vector A - vector B applied to the crate?
magnitude_________N
direction______° (North/South) of west

Explanation / Answer

F=(A2+B2)

F=(4502+3502)

F=579.09N

=tan-1(465/350)=53.03 north of west

For the second part:

F=579.09N because the magnitude didn't change

But the direction is:

=180-53.03=126.97 degree

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