# If an object is moving at #2 m/s# over a surface with a kinetic friction coefficient of #u_k=6 /g#, how far will the object continue to move?

##### 1 Answer

Feb 26, 2016

#### Answer:

#### Explanation:

We can use the Energy Work Theorem to solve this equation.

Since the force and the distance travelled are in opposite directions, then

Also, since it force works uniformly over the entire movement until rest of object (i,e till

So, all in all, it reduces to

Now, force acting on the object is

So,

So, that means

Given

Solving this gives the given answer above.