Calculating Graviational Field

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SUMMARY

The discussion focuses on calculating the gravitational field generated by a 1015 kg mass at a distance of 20 km. The gravitational field is determined using the formula g = GM/R2, where G is the universal gravitational constant. The conversion of gravitational units is clarified, with 9.8 m/s2 equating to 980 Gal and 1 gu (gravity unit) being 0.1 mGal. The participants emphasize the importance of using coherent units in calculations.

PREREQUISITES
  • Understanding of gravitational equations, specifically g = GM/R2
  • Familiarity with the universal gravitational constant (G)
  • Knowledge of unit conversions between m/s2, Gal, and gravity units
  • Basic physics concepts related to mass and distance
NEXT STEPS
  • Research the universal gravitational constant (G) and its value
  • Learn about gravitational field calculations in various contexts
  • Explore unit conversion techniques for gravitational measurements
  • Study the implications of point mass approximations in gravitational physics
USEFUL FOR

Students in physics or engineering, educators teaching gravitational concepts, and anyone interested in understanding gravitational field calculations and unit conversions.

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Homework Statement



Calculate the gravitational field associated with a 1015 kg mass, at a distance 20 km (r) from the center of that mass. Express your answer in both ‘Gravity Units’ and “Gals”. Assume that the radius of the mass is much less than 30 km, and that the mass can therefore be treated as a point source.


Homework Equations



The mean value of gravity at the earth’s surface is about 9.80 m/s2.
Basic gravitational equation:
g = GM/R2
G - gravitational constant M - mass of the Earth R - radius of Earth

9.8 m/s2 = 980 Gal
1 mGal = 0.001 Gal
1 μGal = 0.001mGal = 10-6 Gal
1 gu (gravity unit) = 0.1 mGal = 10-4 Gal


The Attempt at a Solution


I'm a graduate student with a degree in criminal justice... We couldn't come up with any coherent answers.

[(9.8m/s^2)*(10^15kg)]/20km^2

4.9*10^8kg m/s2
 
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The G in the formula is not 9.8 m/s^2. Look up universal gravitational constant.
And you need your units to be coherent.
 

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