*48. GO The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle 0. One track is longer than the other, however. Identical blocks are projected up each track with the same initial speed V9. 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 H, 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 H, 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 v, = 7.00 m/s, and each incline slopes upward at an angle of 0 = 50.0°. The block on the shorter track leaves the track at a height of H, = 1.25 m above the ground. Find (a) the height H for the block on the longer track and (b) the total height Hj + H2 for the block on the shorter track. H2 Longer track Shorter track

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter7: Conservation Of Energy
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Problem 79P: A block of mass 0.500 kg is pushed against a horizontal spring of negligible mass until the spring...
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*48. GO The drawing shows two frictionless inclines that begin at ground
level (h = 0 m) and slope upward at the same angle 0. One track is longer
than the other, however. Identical blocks are projected up each track with
the same initial speed V9. 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 H, 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 H,
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 v, = 7.00 m/s, and each incline slopes upward at an angle of 0 = 50.0°.
The block on the shorter track leaves the track at a height of H, = 1.25 m
above the ground. Find (a) the height H for the block on the longer track
and (b) the total height Hj + H2 for the block on the shorter track.
H2
Longer track
Shorter track
Transcribed Image Text:*48. GO The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle 0. One track is longer than the other, however. Identical blocks are projected up each track with the same initial speed V9. 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 H, 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 H, 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 v, = 7.00 m/s, and each incline slopes upward at an angle of 0 = 50.0°. The block on the shorter track leaves the track at a height of H, = 1.25 m above the ground. Find (a) the height H for the block on the longer track and (b) the total height Hj + H2 for the block on the shorter track. H2 Longer track Shorter track
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