Question

The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle θ. One track is longer than the other, however. Identical blocks are projected up each track with the same initial speed v₀. 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, flies off the end of the track at a height H₁ above the ground, and then follows the familiar parabolic trajectory of projectile motion. At the highest point of this trajectory, the block is a height H₂ above the end of the track. The initial total mechanical energy of each block is the same and is all kinetic energy. The initial speed of each block is v₀ = 7.96 m/s, and each incline slopes upward at an angle of θ = 50.0°. The block on the shorter track leaves the track at a height of H₁ = 1.25 m above the ground. Find (a) the height H for the block on the longer track and (b) the total height H₁ + H₂ for the block on the shorter track.

Answer 1

Date. No Par he bloele Sitoed stuuys n the track nvested to otentte 2- m 马 3 23 M Fo r the othe bloce at H hoo lost SoneE 2. 2ー 2 623 w/ 2 スー9-3 25干176 2-41 m