# The net force on an object of #14000"N"# causes it to accelerate at a rate of #5"m"//"s"^2#. What is the mass of the object?

##### 1 Answer

Sep 12, 2017

#### Explanation:

By Newton's second law, force is given by the product of an object's mass and acceleration as:

#vecF_"net"=mveca#

Which we can solve for mass (taking magnitudes) as:

#=>m=F/a#

**We are given:**

#|->a=5"m"//"s"^2# #|->F=14000" N"#

Therefore, we have:

#m=(14000"N")/(5"m"//"s"^2)#

And we can check that the units work out, as we should get our final mass in kilograms.

#kg=((kgm)/s^2)/(m/s^2)#

#=>kg=(kgcancelm)/cancels^2*cancels^2/cancelm#

#=>kg=kg#