Newtons laws/weight/acceleration/force

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SUMMARY

The discussion centers on calculating the height above the Earth's surface required for an object's weight to be one-fourth of its weight at the surface. The correct answer is determined to be 3r, where r represents the radius of the Earth. This conclusion is derived from applying the principles of gravitational force and the inverse square law. Participants also referenced external resources for further clarification on related physics concepts.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with gravitational force equations
  • Knowledge of the inverse square law in physics
  • Basic algebra for solving equations
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  • Study the derivation of gravitational force using Newton's Law of Universal Gravitation
  • Learn about the inverse square law and its applications in physics
  • Explore gravitational potential energy and its relation to height
  • Review problems involving weight changes at different altitudes
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Students studying physics, educators teaching gravitational concepts, and anyone interested in understanding the effects of altitude on weight and gravitational force.

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Homework Statement



Please help I'm terrible with physics =[

1) If r is the radius of the Earth, how far above the surface of the Earth would you have to go so that your true weight is one-fourth of what it is on the surface of the Earth?

a) r
b) 2r
c) 3r
d) 4r

The only formulas I was given are in the attachment

Also I need help another question also in the attachment. Sorry if the picture is blurry that's the best I could make it. 1) For the first question my intuition tells me its 4 but I'm not 100% sure.
2) I am literally clueless for the second one
 

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