A block of 5.0 kg slides all along a frictionless horizontal surface having a speed of 9.0 m/s. After sliding a distance of 7.0 m, the block forms a smooth transition to a frictionless ramp inclined at an angle of 30 degrees to the horizontal. The acceleration of gravity is g = 9.8 m/s2. Let, consider the zero of the vertical y coordinate and the zero of the potential energy at the level of the horizontal surface.
(i) Find out the kinetic energy of the block as it moves all along the horizontal surface?
(ii) What distance all along the ramp does the block slide prior to coming temporarily to a stop?
(iii) Determine the potential energy of the block if it comes momentarily to a stop?