# An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < -6 N , 3 N># and the second is #F_2 = < 6 N, 5 N>#. What is the object's rate and direction of acceleration?

##### 1 Answer

Jun 8, 2016

The acceleration is

#### Explanation:

When you want to sum two vectors in classical mechanics, it is enough if you sum them component by component.

The final vector is

The length of a vector is given by

that of our vector is

Then the force is with a magnitude of 8N and the acceleration is given by

The direction is given by

This of course is a problem because we cannot divide by zero. On the other hand we know that the arctan is singular when the angle is