A block A can slide on a frictionless incline of angle and length l , kept inside an elevator travelling up with uniform velocity v as shown in the figure. Determine the time taken by the block to slide down the length of the incline if it is released from the top.

Step-by-step solution

Since the elevator is moving upwards with a uniform velocity v , its acceleration is zero. Therefore, there is no pseudo force acting on the block, and the effective acceleration due to gravity inside the elevator remains g . The component of acceleration of the block along the frictionless incline is a = g . The block is released from rest, so its initial velocity is u = 0 . Let t be the time taken to slide down the incline of length l . Using the second equation of motion, s = ut + 1 2 at^2 : l = 0 + 1 2 (g )t^2