An object with a mass of #9 kg# is acted on by two forces. The first is #F_1= < -2 N , -1 N># and the second is #F_2 = < 8 N, -5 N>#. What is the object's rate and direction of acceleration?
The object is accelerating at a rate of
at an angle of
The total force acting upon an object is the sum of all the forces acting on that object.
In this case
Then adding algebraically we get
and by Newton's 2nd Law
Then we divide by
The rate of acceleration is the magnitude of a.
The direction is down and to the right and the angle