Need some quick physics 110 help

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SUMMARY

The discussion focuses on gravitational force calculations using Newton's law of universal gravitation. The first scenario calculates the weight of an object when moved 4,000 miles above the Earth's surface, concluding it weighs 25 pounds due to the inverse square law. The second scenario involves an object weighing 100 pounds on Earth, which is moved to a planet with five times the radius, resulting in a weight of 8 pounds. Both calculations utilize the formula f=Gm1m2/r² effectively.

PREREQUISITES
  • Understanding of Newton's law of universal gravitation
  • Familiarity with the concept of weight and gravitational force
  • Basic knowledge of the inverse square law
  • Ability to perform algebraic manipulations with physical formulas
NEXT STEPS
  • Study gravitational force calculations using Newton's law of universal gravitation
  • Explore the implications of the inverse square law in different contexts
  • Learn about weight variations on different celestial bodies
  • Investigate the effects of radius and mass on gravitational force
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Students in physics courses, educators teaching gravitational concepts, and anyone interested in understanding weight variations in different gravitational fields.

realfuzzhead
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this should be obvious, but I'm a little confused. Question is, ' If an object weight 100 pounds on the Earth's surface (4k miles from the center), is moved to 4000 miles above the surface. How much does it weigh?'

f=Gm1m2/r2, so you would square the r, which means you would divide Gm1m2 by 4 correct? So 25 pounds?

2.) An object on the surface of Earth that weighs 100 pounds is moved to a planet with 5x the radius and that is 2x as large, how much does the object weigh?

so it would be Gm1m2/r2= 100 lbs.

G(2)m1m2/52= 2/25 = 1/12.5.-- 100 * 1/12.5 = 8 lbs.

right?
 
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