How fast will an object with a mass of #3 kg# accelerate if a force of #27 N# is constantly applied to it?

1 Answer
Jan 7, 2016

I found: #9m/(s^2)#

Explanation:

Force #F# and acceleration #a# are directly related through an entity called "mass" #m# that gives you an idea of the resitance of the body to the application of the force.
So if you push a brick its ok, it moves (=accelerate) but if you push with the same force a ton of bricks they will probably not move.
All of this is described by Newton's second law:

#SigmavecF=mveca#

Considering a linear situation, for example along the #x# axis, we can lose the vectoriality and write:
#F=ma#
And with your data:
#27=3*a#
Rearranging:
#a=27/3=9m/(s^2)#