SOLUTION: 6. A force of 55 Newtons is acting on a body in a north direction. A second force of 30 Newtons is applied to the body in a south direction. What is the net force and direction o

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: 6. A force of 55 Newtons is acting on a body in a north direction. A second force of 30 Newtons is applied to the body in a south direction. What is the net force and direction o      Log On

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Question 341132: 6. A force of 55 Newtons is acting on a body in a north direction. A second force of 30 Newtons is applied to the body in a south direction. What is the net force and direction of action?
55-30= 25 Newtons in a north direction
8. Use the data in problem 6, only this time the second force acts in an east direction. What is the net force and direction of action.
I got number 6 answered, but i'm having trouble with number 8.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The magnitude of the F is obtained by,
F%5E2=55%5E2%2B30%5E2
F%5E2=3025%2B900
F%5E2=3925
F=62.6 N
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tan%28theta%29=55%2F30
tan%28theta%29=1.83
theta=61.4degrees, North of East.