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#
