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.