An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= < -6 N , 1 N># and the second is #F_2 = < 4 N, 9 N>#. What is the object's rate and direction of acceleration?
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