Gravitational Field: Proton & Electron Mass Ratio

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SUMMARY

The gravitational force ratio between a proton and an electron in a gravitational field can be calculated using the formula fg = GMm/r^2. Given the mass of a proton as 1.67 x 10^-27 kg and the mass of an electron as 9.11 x 10^-31 kg, the calculated ratio of their masses is approximately 1 to 1800. This indicates that the proton is significantly more massive than the electron, which directly influences the gravitational force experienced by each particle in the field.

PREREQUISITES
  • Understanding of gravitational force equations, specifically fg = GMm/r^2
  • Knowledge of mass values for subatomic particles, specifically proton and electron masses
  • Basic algebra for calculating ratios
  • Familiarity with gravitational fields and their effects on mass
NEXT STEPS
  • Study gravitational force calculations in different contexts, such as planetary motion
  • Explore the implications of mass ratios in particle physics
  • Learn about the role of gravitational fields in astrophysics
  • Investigate the differences between gravitational and electromagnetic forces
USEFUL FOR

Students in physics, educators teaching gravitational concepts, and anyone interested in the comparative study of subatomic particle masses.

Willian93
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Homework Statement



if a proton and a electron put in a gravitational field, what is their ratio compare to one another?

Homework Equations


fg= GMm/r^2
mass of a proton = 1.67 x 10^-27 kg
mass of a electron= 9.11 x 10^-31 kg

The Attempt at a Solution



i tried to divided them out, i got 1 to 1800, not sure if it is right
 
Physics news on Phys.org
If in a gravitational field of strength 'g', the force on any mass in that field is mg.

So the force on the mass of the proton is 1.67(10-27)g. Find the force on the electron and then divide.
 

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