Neco Model Questions Vol1 2024 Physics Question 5

A 5.0 kg block is released from rest at the top of a smooth inclined plane that is 4.0 m high and makes an angle of 30° with the horizontal. The coefficient of kinetic friction between the block and the plane is 0.20. After reaching the bottom, the block continues onto a horizontal rough surface where the coefficient of kinetic friction is 0.15 and it comes to rest after travelling 2.0 m. (a) Determine the speed of the block at the instant it reaches the bottom of the incline. (b) Calculate the total work done by friction during the whole motion (incline + horizontal). (c) If a motor pulls the block up the same incline at a constant speed of 2.0 m s⁻¹, what is the minimum power output of the motor? (Assume the same coefficient of friction on the incline.)