# An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < -5 N , 2 N># and the second is #F_2 = < 7 N, 6 N>#. What is the object's rate and direction of acceleration?

##### 1 Answer

#### Explanation:

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

To do this, let's first split up the forces into their components:

We'll now find the components of the **net force** that acts on the body, by adding components:

Now, we can use Newton's second law to find the components of the object's acceleration:

The **magnitude** of the acceleration is

And the **direction** is

**Always be sure to check your direction calculation, as it could be #180^"o"# off!** (by noting what direction the acceleration is relative to the object).