Attractive force between Venus and Sun

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SUMMARY

The attractive force between Venus and the Sun, calculated using the formula F = Gm1m2/d^2, yields a result of approximately 5.47 x 10^22 N when rounded correctly. The gravitational constant G is 6.67 x 10^-11 N.m^2/kg^2, with the mass of the Sun being 1.98 x 10^30 kg and the mass of Venus at 4.83 x 10^24 kg. Discrepancies in results arise from variations in the mass values used, with WolframAlpha providing a slightly higher value of 5.54 x 10^22 N due to different mass assumptions.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with gravitational constant (G = 6.67 x 10^-11 N.m^2/kg^2)
  • Knowledge of mass values for celestial bodies (e.g., mass of the Sun and Venus)
  • Ability to perform scientific notation calculations
NEXT STEPS
  • Research the variations in mass values for celestial bodies and their impact on gravitational calculations
  • Explore the use of computational tools like WolframAlpha for gravitational force calculations
  • Learn about rounding rules in scientific calculations to ensure accuracy
  • Investigate the implications of gravitational forces in celestial mechanics
USEFUL FOR

Astronomy students, physicists, and anyone interested in gravitational calculations between celestial bodies will benefit from this discussion.

sadifermi
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I just need someone to double check my answer and confirm they get the same answer as I do. Thanks.
Question: Find the attractive force between Vneus and the sun. The distance between their centers is 1.08x10^11.

Equation: F = Gm1m2/d^2
G= 6.67x10^-11 N.m^2/kg^2
m1 (mass of sun)= (1.98x10^30kg)
m2 (mass of venus) = (4.83x10^24kg)
d= (1.08x10^11)

= (6.67x10^-11 N.m^2/kg^2)(1.98x10^30kg)(4.83x10^24kg)/(1.08x10^11)^2
=5.4687 x 10^22

Please let me know if this is the correct answer asap. Thanks!
 
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Your answer has no units.
 
sadifermi said:
I just need someone to double check my answer and confirm they get the same answer as I do. Thanks.
Question: Find the attractive force between Vneus and the sun. The distance between their centers is 1.08x10^11.

Equation: F = Gm1m2/d^2
G= 6.67x10^-11 N.m^2/kg^2
m1 (mass of sun)= (1.98x10^30kg)
m2 (mass of venus) = (4.83x10^24kg)
d= (1.08x10^11)

= (6.67x10^-11 N.m^2/kg^2)(1.98x10^30kg)(4.83x10^24kg)/(1.08x10^11)^2
=5.4687 x 10^22

Please let me know if this is the correct answer asap. Thanks!

You have just omitted the next digits rather than round off to the 5 figures you have chosen to specify.

besides, your answer should only be to 3 figures!

And as per the previous post - you need some units.
 
Thanks folks, appreciate it!
 
WolframAlpha gets a slightly different result: 5.54*10^22 N

It uses a mass of venus which is larger by 1% and a mass of sun which is larger by .5%.
 
sadifermi said:
Thanks folks, appreciate it!

So you should have been saying 5.47 (correctly rounded) not 5.46 (merely truncated)
 

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