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