# An object with a mass of #5 kg# is acted on by two forces. The first is #F_1= < -1 N , 8 N># and the second is #F_2 = < 6 N, -3 N>#. What is the objects rate and direction of acceleration?

##### 1 Answer

#### Explanation:

We're asked to find the magnitude and direction of the object's acceleration, given its mass and two forces that act on it.

What we can do is split this problem up into the *net force* components (and its mass).

(Remember,

We need to calculate the components of the **net force** that acts on the object, using

The acceleration components are derived from the Newton's second law equation:

The *magnitude* of the acceleration is

The *direction* of the acceleration is