How Do You Calculate the Density of a Proton?

  • Thread starter Thread starter GlobalDuty
  • Start date Start date
  • Tags Tags
    Beginner Density
Click For Summary
To calculate the density of a proton, its diameter of 2.4 femtometers (fm) is used to find the radius of 1.2 x 10^-15 meters. The volume is calculated using the formula for the volume of a sphere, resulting in approximately 7.2 x 10^-45 cubic meters. The density is then determined by dividing the mass of the proton, 1.67 x 10^-27 kg, by the calculated volume. Despite following the correct formulas, the calculated density of 2.31 x 10^17 kg/m^3 is reported as incorrect, indicating a potential error in the calculations. The discussion highlights the challenges in accurately determining the density of subatomic particles.
GlobalDuty
Messages
26
Reaction score
0

Homework Statement


A proton, which is the nucleus of a hydrogen atom, can be modeled as a sphere with a diameter of 2.4 fm and a mass of 1.67 multiplied by 10-27 kg. Determine the density of the proton.


Homework Equations


Volume=(4/3)pi*r^3
Density=mass/Volume


The Attempt at a Solution


I first got the radius: 1.2 * 10^-15
To get the volume i did: (4/3)*pi*(radius)^3 and i got 7.2 * 10^-45 as the volume
To get density i just jiust divided 1.67*10^-27/7.2*10^-45
and i got 2.31 *10^17 as the answer which is wrong.
 
Physics news on Phys.org
I get the same answer.
 
Delphi51 said:
I get the same answer.

o well. thanks for replying
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

The density of a proton (hydrogen nucleus)
  • · Replies 9 ·
Replies
9
Views
2K
What is the Average Density of the Universe and Its Scale Over Time?
  • · Replies 5 ·
Replies
5
Views
2K
Why Is the Number of Nucleons in Earth Incorrect?
  • · Replies 2 ·
Replies
2
Views
2K
Physics puzzle about the concentration of fog droplets in the air
  • · Replies 26 ·
Replies
26
Views
2K
Confusion on product rule for mass of differential volume element
  • · Replies 4 ·
Replies
4
Views
2K
Calculating the volume of a nucleus
  • · Replies 7 ·
Replies
7
Views
6K
What Was the Initial Speed of the Proton in a Collision?
  • · Replies 2 ·
Replies
2
Views
3K
How can I determine the shape of an oldie acid molecule?
  • · Replies 1 ·
Replies
1
Views
1K
What is the density of pure chromium in g cm^-3?
  • · Replies 44 ·
2
Replies
44
Views
4K
Fundamental Forces Problem: Acceleration from Planet
  • · Replies 9 ·
Replies
9
Views
2K