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The following drawing shows two frictionless inclines that begin at ground level {is =0 1n) and slope upward at the same angle a. One track
The following drawing shows two frictionless inclines that begin at ground level {is =0 1n) and slope upward at the same angle a. One track is longer than the other, however. Identical blocks are projected up each track with the same initial speed 120. 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 parabolic trajectory of projectile motion. At the highest point of this trajectory, the block is a height H: above the end of the track. The initial total mechanical energy of each block is the same and is all kinetic energy. Assume that the air resistance is negligible, and model each block as a point mass. (iv) If the initial speed of each block is w = 7.00 m/s, and each incline slopes upward at an angle of e = 50.0, and the block on the shorter track leaves the track at a height of Hi = 1.25 m above the ground, find (a) the height H for the block on the longer track (2 decimal places needed) (b) the total height Hi + H for the block on the shorter track (2 decimal places needed)
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