# An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < -2 N , 4 N># and the second is #F_2 = < 3 N, 5 N>#. What is the object's rate and direction of acceleration?

##### 1 Answer

#### Explanation:

To solve this problem, we can use the equation

or in the component equations

Our components for the forces are

#SigmaF_x = 1# #"N"#

#SigmaF_y = 9# #"N"#

Using these two net force components, we can calculate the acceleration components using the equations above and it's mass (

The magnitude of the acceleration is thus

And it's direction is