A block of mass 2.5kg is projected upward along a rough inclined plane that makes an angle of 37∘ with the horizontal. The coefficient of kinetic friction between the block and the plane is 0.20, and the initial speed of the block is 4ms−1. Assume g=9.8ms−2.
(a) Calculate the acceleration of the block while it is moving upward.
(b) Find the distance it travels up the plane before coming momentarily to rest.
(c) Determine the speed of the block when it returns to its starting point.
(d) Compute the total mechanical energy lost due to friction during the entire motion.