# 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 #?

##### 1 Answer

#### Explanation:

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, we can use Newton's second law to find the acceleration of 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

(**net** force), we have