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 g = 9.8 m/s2. Let, consider zero of the vertical y coordinate and the zero of the potential energy at the level of the horizontal surface.
(i) Determine the total mechanical energy of the block if it comes momentarily to a stop?
(ii) Determine the utmost height it reaches?