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posted by  simplyme on 6/6/2007 5:42:07 PM  |  status: Live  

newton's law of motion

Course Textbook Chapter Problem
Algebra Based Physics Physics (6th) by Cutnell 4 3
Question Details:
can you help me create a 3 body diagram for the following problem:
 
3 forces act on a moving object.  One force  has a magnitude of 80. N andis directed North and the other has a magintude of 60.N and is directed due to West.  What must be the magnitude and direction of a thirds force such that the object coninues to move with a constant velocity. 
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posted by HungryHungryHippo on 6/6/2007 6:24:11 PM  |  status: Live
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simplyme's comment:
"you are great ,,,,thanks!!!"
Response Details:


The two forces acting on it will produce a net force which is equal to (use Pythagorean's theorem):

FT2 = F12 + F22
FT2 = (60)2 + (80)2
FT = 100 N

The angle is:

θ = tan-1(y/x)
θ = tan-1(80/60)
θ = 53.1o (north of west)

The third force must be equal and opposite to the net force cancel it out, so the third force is just:

F3 = 100 N
θ = 53.1o (south of east)
Hope I have helped.  Anyone feel free to correct any mistake I may have made.
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