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

AI Thread Summary
The discussion focuses on solving kinetic energy problems involving velocity and potential energy, specifically analyzing two stones in motion. For the first stone, understanding its movement at maximum height is crucial, as it emphasizes the forces acting on it at that instant. The second stone's motion requires breaking down its initial velocity into horizontal and vertical components, highlighting the importance of projectile motion principles. Participants are encouraged to attempt the problems independently before reviewing provided solutions. This approach fosters a deeper understanding of the concepts involved in kinetic energy and motion.
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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
 
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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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