A block of mass 3 kg starts from rest and slides down a surface, which corresponds to a quarter of a circle of 1.6 m radius.
a) If the curved surface is smooth, calculate the speed of the block at the bottom.
b) If the block’s speed at the bottom is 4 m/s^−1, what is the energy dissipated by friction as it slides down?
c) After the block reaches the horizontal surface with a speed of 4 m/s^−1, it stops after travelling a distance of 3 m from the bottom. Find the frictional force acting on the horizontal surface due to the block.