Gravitation with conversions help

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SUMMARY

The discussion centers on calculating the height above planet B's surface where the gravitational field intensity is 0.6 times that at the surface. Given the radius of planet B as 6.40 x 103 km and its mass as 5.97 x 1024 kg, the gravitational field intensity formula g = Gm/r2 is employed. Participants emphasize the importance of accurate unit conversions and calculations to derive the correct height. The conversation highlights common pitfalls in applying gravitational equations and encourages sharing detailed calculations for peer review.

PREREQUISITES
  • Understanding of gravitational field intensity and the formula g = Gm/r2
  • Familiarity with unit conversions, particularly between kilometers and meters
  • Basic knowledge of gravitational constants and their application in physics
  • Ability to perform algebraic manipulations to solve for variables
NEXT STEPS
  • Review the concept of gravitational field intensity and its dependence on distance from the mass
  • Practice unit conversion techniques, especially converting kilometers to meters
  • Explore gravitational constant G and its significance in physics problems
  • Learn how to derive equations from physical principles to solve for unknowns
USEFUL FOR

Students studying physics, particularly those tackling gravitational problems, and educators looking for examples of gravitational calculations and common student errors.

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Homework Statement


"At what height above planet B's surface (in meters) does the gravitational field intensity become 0.6 times its value on the surface of planet B, given that the radius of planet B is 6.40 x 10^3 km and that its mass is 5.97 x 10^24 kg?


Homework Equations


g=Gm/r^2


The Attempt at a Solution


My work is very scrambled with trying to convert and compare the values and I think my mistake could be in plugging in the new values.
 
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hi lmm5arual! :smile:

(try using the X2 button just above the Reply box :wink:)

show us your full calculations, and then we'll see where you went wrong! :smile:
 

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