What fraction of the object's kinetic energy is lost during a single collision?

AI Thread Summary
The coefficient of restitution for an object is the ratio of its outgoing to incoming speed during a collision, with a value of 0.59 in this case. To determine the fraction of kinetic energy lost during the collision, the relationship between the initial and final kinetic energies must be established. The final kinetic energy can be expressed in terms of the initial kinetic energy using the coefficient of restitution. The discussion highlights confusion over how to derive the kinetic energy loss from the provided information. Overall, the key focus is on calculating the fraction of kinetic energy lost based on the coefficient of restitution.
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Homework Statement



The coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface. For an object with a coefficient of 0.59, what fraction of the object's kinetic energy is lost during a single collision?

Homework Equations



KE = 1/2mv^2
kinetic friction coefficient = Fkinetic/Fnormal

The Attempt at a Solution



I am so confused... I hate these problems where the information isn't given to solve for something,someone point me in the right direction please
 
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Coefficient of restitution:

\frac{v_{final}}{v_{initial}}=0.59

You are looking for

\frac{K_{final}}{K_{initial}}

The information you need is given.
 
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