Calculating Difference in Gravity at Different Distances from Earth's Surface

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Homework Help Overview

The discussion revolves around calculating the difference in gravitational acceleration at various distances above and below the Earth's surface, specifically focusing on when this acceleration is reduced by 10% compared to its value at the surface. The radius of the Earth is given as 6400 km.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are discussing the application of a formula relating gravitational acceleration to height and depth, with some attempting to calculate the specific distances where gravity decreases by 10%. Questions arise regarding the accuracy of the calculations and the correctness of the formula used.

Discussion Status

There is an ongoing exploration of calculations, with one participant asserting a result of 320 km, while another suggests it should be 345.6 km. Participants are questioning the correctness of the formula presented and whether it aligns with the original poster's statement.

Contextual Notes

Some participants express uncertainty about the formula used and whether it has been accurately transcribed from the original problem statement. There is also a focus on the implications of the 10% reduction in gravitational acceleration.

TANMAI
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Homework Statement



at what distance above the Earth surface and at what depth below the Earth surface,is the acceleration due to gravity less by 10% of its value at surface? R=6400 km

Homework Equations

The Attempt at a Solution


g'/g = (1- 2h)/R
 
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i have done this problem and the answer is coming out to be 320 km but it is 345.6 km...
 
TANMAI said:
i have done this problem and the answer is coming out to be 320 km but it is 345.6 km...
Well, show us your calculations.
 
fine:smile::smile::smile::smile::smile::smile::smile::smile: 100-10=90/100=0.9 means gh is 0.9 times of g therefore 0.9=2h/R which is 0.9=2h/6400
 
TANMAI said:
fine:smile::smile::smile::smile::smile::smile::smile::smile: 100-10=90/100=0.9 means gh is 0.9 times of g therefore 0.9=2h/R which is 0.9=2h/6400
That doesn't match the formula you have in the OP. Have you written the formula correctly?
 

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