# An object with a mass of #9 kg# is acted on by two forces. The first is #F_1= < -7 N , 1 N># and the second is #F_2 = < 4 N, -5 N>#. What is the objects rate and direction of acceleration?

##### 1 Answer

#### Explanation:

We're asked to find the acceleration (magnitude and direction) of an object with a known mass and two forces that act on it.

We can use the famous equation

to help solve this problem. In *component form*, this becomes

We therefore need to find the components of the *net force* acting on the object.

The net force components are the *vector sums* of the components of the individual forces:

The components of the acceleration are

The **magnitude** of the acceleration is thus

The **direction** of the acceleration is

(The *third quadrant* relative to the object.)