A 3kg block starts from rest at the top of a 5m long incline that makes an angle of 30∘ with the horizontal. Answer the following questions.
a. (i) Calculate the speed of the block at the bottom if the incline is smooth.
b. (ii) The same incline is now rough with a coefficient of kinetic friction 0.25. Calculate the speed of the block at the bottom.
c. (iii) Find the percentage loss of mechanical energy in part (ii) compared to part (i).