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
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: