# An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < 6 N , -2 N># and the second is #F_2 = < -3 N, 3 N>#. What is the object's rate and direction of acceleration?

##### 1 Answer

The acceleration,

and the magnitude is:

You can write the acceleration,

Where

#### Explanation:

**Given**: Forces on an object of mass,

**Required**: Object acceleration,

**Solution Strategy**:

A) Draw a "Free Body Diagram" and add the two force vector

B) Use Newton's law

That is:

1)

A) See Image Below

The FBD yield:

Thus the net force,

B) Newton Law:

From equation 1) we have:

1)

Thus the net acceleration,

and the magnitude is: