How much work would it take to horizontally accelerate an object with a mass of #8 kg# to #7 m/s# on a surface with a kinetic friction coefficient of #9 #?
We're asked to find the total work done on an object so that it accelerates to
Using the equation
we can find the retarding friction force the surface exerts on the object (knowing that the normal force
To make this simple, we'll make the net force experienced by the object
Now, let's use a kinematics equation to find the distance traveled under this constant acceleration so that the final velocity is
Starting from an assumed state of rest:
Finally, using the equation