# If an object is moving at #7# #ms^-1# over a surface with a kinetic friction coefficient of #u_k=14 /g#, how far will the object continue to move?

##### 1 Answer

#### Answer:

Finding the frictional force and the acceleration due to it allows us to find the distance traveled,

#### Explanation:

The force accelerating (decelerating) the mass will be the frictional force, which is the frictional coefficient times the normal force:

In this case the normal force is the weight force of the object:

So

The acceleration (deceleration) of the object with this force acting on it is given by Newton's Second Law :

This should be given a minus sign, because it is an acceleration in the opposite direction to the object's velocity - a deceleration.

We know the initial velocity

Rearranging: