Calculating Kinetic Energy: What Does 'v' Equal in Terms of Kinetic Energy?

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SUMMARY

The discussion focuses on calculating kinetic energy and determining the variable 'v' in relation to kinetic energy. Kinetic energy (K) is defined as K = 0.5 * m * v², where 'm' is mass and 'v' is speed. Participants suggest starting with the ratio K_f/K_i to express 'v' in terms of kinetic energy. The coefficient of restitution, denoted as epsilon, is also mentioned as a relevant factor in the calculations.

PREREQUISITES
  • Understanding of kinetic energy formula: K = 0.5 * m * v²
  • Familiarity with the coefficient of restitution (epsilon)
  • Basic algebra skills for manipulating equations
  • Knowledge of initial (K_i) and final (K_f) kinetic energy concepts
NEXT STEPS
  • Research the coefficient of restitution and its applications in physics
  • Learn how to manipulate kinetic energy equations for problem-solving
  • Explore the relationship between kinetic energy and momentum
  • Study examples of kinetic energy calculations in various physical scenarios
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of kinetic energy and motion.

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http://img445.imageshack.us/img445/4941/untitlediy4.png

This question leaves me very confused. I'm hoping someone can give me an idea of where to begin because we haven't gone over these problems in class. I understand that kinetic energy is energy that a body has as a result of motion, and is defined as one half the product of a body's mass and the square of it's speed.

But how do I express this as an equation given the attached problem? :confused:

Thanks!
 
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epsilon is the coefficient of restitution. Hint: Start with the ratio K_f/K_i, where K is the kinetic energy.
 
well... very simpily, what does v equal in terms of kinetic energy? try plugging that in the top and the bottom and see what you get.
 

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