If an object is moving at #7# #ms^-1# over a surface with a kinetic friction coefficient of #u_k=2/g#, how far will the object continue to move?
The distance traveled is
The mass cancels out and so does the value of 'g', and we can use the calculated acceleration and the fact that the final velocity is 0 to find the distance traveled.
The force causing the deceleration will be the frictional force, given by
The acceleration of the object will be given by
The mass cancels, which is convenient since we have not been told its value:
The g also cancels, so that the acceleration is just equal to
Now we can use