Determining universal gravitational constant G

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SUMMARY

The discussion focuses on determining the universal gravitational constant G by measuring the force between two masses at varying separations. Participants utilized the equation F = G * Mm / r² and plotted Force against 1/distance² to derive G from the slope of the graph. The use of a PhET simulation was highlighted as a practical tool for measuring force, and the importance of including uncertainties and significant figures in results was emphasized.

PREREQUISITES
  • Understanding of Newton's law of universal gravitation
  • Familiarity with graphing techniques and slope calculations
  • Knowledge of significant figures and uncertainty in measurements
  • Experience with PhET simulations for physics experiments
NEXT STEPS
  • Explore advanced graphing techniques for physics experiments
  • Learn about error analysis and how to calculate uncertainties
  • Investigate the use of PhET simulations for other physics concepts
  • Study the implications of the universal gravitational constant in astrophysics
USEFUL FOR

Students in physics, educators teaching gravitational concepts, and anyone interested in experimental methods for measuring fundamental constants.

Tony Manilla
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Homework Statement


Choose two masses and vary their separation, measuring the force between them each time. Plot a straight line graph and use the gradient to estimate the universal gravitational constant. Include uncertainties in the results and express values with the appropriate number of significant figures.
Im stumped...i could simply solve for G by inputing the variables i have (all except G) but i have to use the gradient of the graph.

Homework Equations


F= G*Mm/r^2
F=1/r^2

The Attempt at a Solution


i tried graphing Force vs 1/distance^2 and using the slope of it.
 
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Tony Manilla said:
Choose two masses and vary their separation, measuring the force between them each time.

i wonder how you will measure the force between the two chosen mass ?
 
It's a phet simulation but I figured it out. Just had to graph force vs inverse of distance squared and find the y intercept
 

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