Find gravitation on Mard and the Earth

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Homework Help Overview

The discussion revolves around calculating the acceleration due to gravity on Mars using its radius and mass in relation to Earth. The original poster provides data for Mars and attempts to derive a formula based on gravitational equations.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the gravitational formula and question the accuracy of the original poster's calculations, particularly regarding the squaring of the radius term. There is a focus on ensuring the correct application of the gravitational equation.

Discussion Status

The discussion is active, with participants providing feedback on the original poster's calculations and clarifying the formula. There is acknowledgment of a mistake regarding the squaring of the radius, leading to a revised calculation.

Contextual Notes

Participants are working under the constraints of homework guidelines, which may limit the extent of assistance provided. The original poster expresses uncertainty about their solution, indicating a need for further verification.

DollarBill
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Homework Statement


Mars Data:
Radius = .53 * Earth's Radius
Mass = .11 * Earth's Mass

Find the acceleration due to gravity on Mars in terms of g, the acceleration due to gravity on Earth.


Homework Equations


g=Gm / r2


The Attempt at a Solution


gm= G(.11 ME) / .53rE2

gE = GmE / rE2
9.8 m/s2= GmE / rE2

gM/gE

gM=[G(.11 ME) / r2] / [GmE / rE2] * 9.8

gM= .11/.53 * 9.8

gM=2.034 m/s2

I'm not sure if this is right though.
 
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Hi DollarBill! :smile:
DollarBill said:
gm= G(.11 ME) / .53rE2.

Do you mean that, or have you written it wrong?
 


tiny-tim said:
Hi DollarBill! :smile:


Do you mean that, or have you written it wrong?
Forgot the parenthesis...
gM= G(.11 ME) / (.53 rE)2.
 


Ok now I see what I did. Forgot to square the .53 :blushing:

gM=3.8 m/s2
 

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