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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 vo. 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 vo = 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 H₁ = 1.25 m above the ground. Show all of your work. LA H Longer track Shorter track

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 vo. 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 vo = 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 H₁ = 1.25 m above the ground. Show all of your work. LA H Longer track Shorter track

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
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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I know this website says only to submit one question at a time but this word problem has 12 questions to answer. If you can only answer one at a time I guess we can start with #3. all help is greatly appreciated, please see the attachment.

Thank you,

Miguel 

The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle 9. One track is longer than the other, however. Identical blocks are projected up each track with the same initial speed vo. 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 vo= 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 H₁ = 1.25 m above the ground. Show all of your work. MA Longer track. Shorter track For each step below, provide a brief statement as to why you chose a particular strategy to solve the question. 1. List the known quantities in the scenario. 2. Convert all quantities to fundamental units. 3. Find the height H for the block on the longer track. 4. What is the potential energy of the block on the longer track for height H? 5. What is the kinetic energy of the block on the longer track for height H? 6. Find the total height H₁ + H₂ for the block on the shorter track. 7. What is the potential energy of the block on the shorter track for height H₁? 8. What is the kinetic energy of the block on the shorter track for height H₁? 9. What is the potential energy of the block on the shorter track for height H₂? 10. What is the kinetic energy of the block on the shorter track for height H₂? 11. What is the total mechanical energy of the block on the longer track? 12. What is the total mechanical energy of the block on the shorter track?
Transcribed Image Text:The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle 9. One track is longer than the other, however. Identical blocks are projected up each track with the same initial speed vo. 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 vo= 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 H₁ = 1.25 m above the ground. Show all of your work. MA Longer track. Shorter track For each step below, provide a brief statement as to why you chose a particular strategy to solve the question. 1. List the known quantities in the scenario. 2. Convert all quantities to fundamental units. 3. Find the height H for the block on the longer track. 4. What is the potential energy of the block on the longer track for height H? 5. What is the kinetic energy of the block on the longer track for height H? 6. Find the total height H₁ + H₂ for the block on the shorter track. 7. What is the potential energy of the block on the shorter track for height H₁? 8. What is the kinetic energy of the block on the shorter track for height H₁? 9. What is the potential energy of the block on the shorter track for height H₂? 10. What is the kinetic energy of the block on the shorter track for height H₂? 11. What is the total mechanical energy of the block on the longer track? 12. What is the total mechanical energy of the block on the shorter track?
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