How fast will an object with a mass of #8 kg# accelerate if a force of #16 N# is constantly applied to it?

1 Answer
Aug 5, 2016

The object has an acceleration of #2m/s^(2)#

Explanation:

To find the acceleration, we have to use Newton's second law of motion equation:
![www.openwindowlearning.com](useruploads.socratic.org)

We know the force and mass, both of which have the correct units. All we have to do now is rearrange the equation to solve for the acceleration like this:

#F/m=(cancel"m"xxa)/cancelm#

#F/m=a#

Plug in your known values:

#(16cancel"kg"xxm/s^(2))/(8cancel"kg")#

Therefore, the acceleration is #2m/s^(2)#

By the way, I changed #16N# to #16kgxxm/s^(2)# because it means the same thing. I wanted you to see how the units would cancel out:
![reocities.com](useruploads.socratic.org)