Question

Usually the agreement between the theoretical and measured values for momentum is better than the agreement between theoretical and measured values for kinetic energy? Why it this?

Answer #1

I'll try to explain the phenomenon for both large to very small bodies. The momentum for large bodies is measured as:

While the kinetic energy is defined as:

The problem here comes with the velocity measurement, this has a error asociated so the uncertainty for both measurements are:

As you can see the error for kinetic energy is larger because implies much larger quantities.

Another way to look at it is that the kinetic energy depends on the momentum:

So the uncertainty of the kinetic energy depends on the momentum

For relativistic purposes is similar:

The energy depends on the momentum so the uncertainty is this measurement depends on the momentum uncertainty

Describe momentum and conservation of mumentum.
Describe the difference between an elastic and inelastic
collision. (mention which conserves kinetic energy)

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-Because momentum is a vector and so it includes direction.
-momentum is a scalar so direction does not matter, only the
initial and final values.
-momentum comes in many forms and so is flexible for solving
many puzzles.
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Less work is needed than the amount of energy....

1)
why are fats a better energy source than carbohydrates, but
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An electron is accelerated to a speed where its total energy is
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How many times is the kinetic energy of the electron larger than
its rest energy?
What is the kinetic energy of the electron?
What is the speed of the electron in terms of the speed of
light? (In this part of the problem you have to enter your answer
with seven or eight digits!)
What is the momentum of the electron...

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An electron is accelerated to a speed where its total energy is
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How many times is the kinetic energy of the electron larger than
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What is the kinetic energy of the electron?
What is the speed of the electron in terms of the speed of
light?
(In this part of the problem you have to enter your answer with a
precision of seven or eight digits!)
What is the momentum...

An electron is accelerated to a speed where its total energy is
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1) How many times is the kinetic energy of the electron larger
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2) What is the kinetic energy of the electron?
3) What is the speed of the electron in terms of the speed of
light?
(In this part of the problem you have to enter your answer with a
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Step 1: Before the collision, the total momentum is pbefore =
mv0 + 0 where m is the ball’s mass and v0 is the ball’s speed. The
pendulum is not moving so its contribution to the total momentum is
zero. After the collision, the total momentum is pafter = (m + M)
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picture...

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