Two workers are trying to more a heavy crate. One pushes on the crate with a for
ID: 1410585 • Letter: T
Question
Two workers are trying to more a heavy crate. One pushes on the crate with a force A rightarrow, which has a magnitude of 566 newtons (N) and is directed due west. The other pushes with a force B rightarrow, which has magnitude of 376 N and is directed due north. What are the magnitude and direction of the resultant force A rightarrow + B rightarow applied to the crate? Suppose that the second worker applies a force - B rightarrow instead of B rightarrow. What then are the magnitude and direction of the resultant force A rightarrow - B rightarrow applied to the crate? In both cases express the direction as a positive angle relative to due west. Number Units Number Units north of west Number Units Number Units south of westExplanation / Answer
The body A having vector from for force applied
A=-566i+0j...............(1)
The body B having vector from for force applied
B=0i+376j..............(2)
Now we combined eq1 and eq2
A+B=-566i+376j
(a) ans
The magnitude of A+B=
|A+B|=[(-566)^2+(376)^2
=[320357+141376]
=461732
=679.5 N
Therefore the magnitude of A+B=679.5N
(b) ans
The direction of A+B
theta=tan^-1{-376/566}
=123.6°
(C) ans
The new vector A-B=-566i-376 j
The magnitude of A-B=[(-566)^2+(-376)^2
|A-B|=679.5N
(D) and
The direction of new vector A-B
Theta=tan^-{376/566}
=213.6°
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