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Question on file pls state the direction and the force in newtons

Question on file pls state the direction and the force in newtons-example-1
User Nategoose
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Answer: 6.083N at -80.538 degrees

Step-by-step explanation:

Force is a vector so there is magnitude and direction

1. Find the net force in each direction.

net force (y) = everything up (positive y direction) - everything down (negative y)

= 9-3 = 6N

net force (x) = everything right - everything left

= 5-6 = -1N

These are the components of the net force on the object.

r = <-1, 6>

r is the vector of the force.

We can find magnitude by using the Pythagorean theorem.

sqrt( 1^2 + 6^2) = sqrt 37 or 6.083N

to find the direction we can use trig identities

tan(theta) = y/x

tan^-1 (y/x) = theta

tan^-1(6/-1) = -80.538 degrees.

User Vagnerr
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