A small mass slides down an inclined plane of inclination with the horizontal. The coefficient friction is where is the distance through which the mass slides down and is a positive constant. Then the distance covered by the mass before it stops is
Srep1: Given data
Step2: Frictional force and acceleration
Step4: Finding the acceleration
From the figure, it is clear that the normal force exerted on the body is .
As we know, the frictional force is .
So, the equation of the force of the body from the figure is
Step4: Finding the distance
We know the acceleration,
Comparing equations 1 and 2 we get,
Integrating equation 3
So, acceleration of the body is