# 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?

##### 1 Answer

Jan 23, 2017

The object is accelerating at a rate of

at an angle of

#### Explanation:

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

Then

The rate of acceleration is the magnitude of a.

The direction is down and to the right and the angle