glamrockqueen7
2021-09-14
Mitchel Aguirre
Skilled2021-09-15Added 94 answers
Step 1
a) Let's us write the mass in terms of the density and volume V:
The volume of a sphere is given by
Therefore, we have
Using the mass of the proton and the given radius we obtain
b) We can express the radius from equation. (1):
Inserting the electron mass and the density found in part (a) we get
Step 3
c) The angular speed can be written as so that we have
The problem states that this is equal to :
We found the radius in part (b) but what about the moment of inertia?
Observe that we have modeled an electron as a solid sphere which means that its moment of inertia can be expressed as:
Thus, speed can be expressed as
Inserting the numbers we get
Step 4
Answer: The speed found above is greater than the speed of light. This alone indicates that the model is incorrect.
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