Kinetic Energy Homework: Solving Problems with Velocity and Potential Energy"

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SUMMARY

This discussion focuses on solving kinetic energy problems involving velocity and potential energy, specifically using the equations vmax = √(2gh) and Ei = Ef. The conversation emphasizes understanding the motion of objects at their maximum height and the importance of breaking down initial velocity into horizontal and vertical components for projectile motion. Participants are encouraged to attempt the problems independently before reviewing provided solutions to enhance learning and comprehension.

PREREQUISITES
  • Understanding of kinetic energy and potential energy concepts
  • Familiarity with the equations of motion, specifically vmax = √(2gh)
  • Knowledge of projectile motion and its components
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study the principles of projectile motion in detail
  • Practice breaking down initial velocities into components
  • Explore the conservation of energy in mechanical systems
  • Review examples of kinetic energy problems involving multiple objects
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone looking to deepen their understanding of kinetic and potential energy in motion scenarios.

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Homework Statement



[PLAIN]http://img218.imageshack.us/img218/249/photoxl.jpg

Homework Equations



vmax = Sq(2gh)
Ei=Ef
mgh=mgh+.5mv^2
 
Last edited by a moderator:
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For the first stone, how is it 'moving' at it's max height? Think about how the forces are acting and how the stone would be moving at the INSTANT it reaches its max height, this should give you a good hint as to how to treat the second stone.

For the case of the second stone you need to break it down into horizontal and vertical components. The motion of the second stone isn't entirely in the vertical direction, there is also a component in the horizontal direction. Break the initial velocity Vo into its vertical and horizontal components. What is 1 significant thing to remember about projectile motion? Apply that to find your solution.
 
Attached is my solution to the two questions. I strongly suggest you try to solve the problems on your own before going through my solution.
 

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