A block of mass m slides up the incline shown with an initial speed vo in the position shown.
a. If the incline is friction less, determine the maximum height H to which the block will rise, in terms of the given quantities and appropriate constants.
b. If the incline is rough with coefficient of sliding friction µ, the box slides a distance d = h2/sin θ along the length of the ramp as it reaches a new maximum height h2. Determine the new maximum height h2 in terms of the given quantities.