=1. The drawing shows two frictionless inclines that begin at ground level {h 2 Elm] and slope upward at the same angle 6'. One track is longer than the othqu however; Identical blocks are projected up each track with the same initial speed so. On the longer track the block slides upward until it reaches a maximum height H above the ground. On the shorter track the block slides upward, ies of! the end of the track at height H] above the ground, and then follows the familiar parabolic trajectory of projectile motion. At the highest point of this trajectory1 the block is a height H2 above the end of the track. The initial mechanical energyr of each block is the same and is all kinetic energy. {a} When the block on the longer track reaches its maximum height, is its nal mechanical energy all kinetic, all potential. or some of each? (b) When the block on the shorter track reaches the top of its trajectory after leaving the track, is its nal mechanical energy all kinetic energy, all potential energf, or some of each? [c] Which is the greater height above the ground: H or H1 + H2? Longer track Shorter track Using conservation of mechanical energy for both tracks one can Show that H,H1.. and H2 satisfy H. relation: H = H1 + 32 '9 H1 +H2 because sin I9 is always smaller than 1 for angles less than 90. sm