Calculate the gravitational field strength

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Homework Help Overview

The discussion revolves around calculating the gravitational field strength of the moon using its radius and mass. Participants are exploring the application of gravitational formulas in this context.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formula for gravitational field strength and question the necessity of certain variables, particularly the mass of the object being acted upon.

Discussion Status

The conversation has progressed with participants clarifying the relationship between the variables in the gravitational formula. There is an indication of understanding as one participant realizes the cancellation of mass terms in the equation.

Contextual Notes

There is a focus on the correct application of gravitational formulas, with some uncertainty about the inclusion of specific variables in the calculations.

sweet877
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From the radius (1740 km) and mass (7.36 X 10^22 kg) of the moon, calculate gravitational field strength for this body.

g = F/m = F/(7.36X10^22 kg)
F = GmM/r^2 = (6.67X10^-11)(7.36X10^22)M/(1740X10^3)^2
What is the big M?
 
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do you need it?
 
I would think not...but why? Did I use the wrong formula to find F?
 
Ah I got it.
mg = GmM/r^2, the small ms cancel out. Thanks!
 

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