Kinetic Energy - use a log scale or not?

[Luke_G]

Homework Statement

Lets say we have a series of balls and an eggs. All items have equal mass but are traveling at different velocities.

Thus they have differing kinetic energies.

Now, for each 'ball' object we have, we want to find an egg object with a similar kinetic energy. Let's say, within +-1 standard deviation interval

Would it be correct to take the kinetic energy as it is and use the linear interval of 1SD, or convert to the kinetic energy to a logarithmic scale

Homework Equations

KE = 0.5*m*v²

The Attempt at a Solution

My guess is to use a log scale as Kinetic energy does not increase linearly with speed

 

[Kinta]

I've never seen a physics problem like this. Is there any way you can be more specific in your description of the situation? Is this a textbook problem? Are you just trying to conduct an experiment? What exactly are the difficulties in finding the difference in kinetic energy of an egg and and that of a ball?

 

[haruspex]

we want to find an egg object with a similar kinetic energy

What does that mean? Do you want the probability that there exists an egg object in that KE range? Or the expected fraction of eggs in that range? Or...?
Is the distribution of energies known?
Do the balls and eggs have the same distribution of velocities? Of energies?
(Do the balls and eggs all have the same masses?)

My guess is to use a log scale

Use a log scale for what, exactly? Maybe you could illustrate with a sample calculation.

 

[andrevdh]

Shouldn't you include the kinetic energy of the rotation of the objects?