A piece of ice slides down a 45degree incline in twice the time it takes to slide down a frictionless 45 degree incline. Find the coefficient of friction between the ice and the incline
The force towards the incline is . Now if there is friction then frictional force is . So total downwards force on ice block coming with friction is . So the acceleration without friction and with friction are and . Now suppose the length of the incline is S, then time taken by a body to travel distance S with acceleration is . So the two times are
and
Now dividing this two equation we get
or
putting we get
or
and
Now dividing this two equation we get
or
putting we get
or