Calculating Gravitational Force: Baby vs Mars

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SUMMARY

The gravitational force between a newborn baby with a mass of 3 kg and an obstetrician with a mass of 100 kg, positioned 0.5 m apart, can be calculated using the formula F = G m1m2/d². The correct gravitational constant G is 6.67 x 10^-11 N*m²/kg². After substituting the values into the equation, the force can be computed. Additionally, to compare this force with that exerted by Mars, one must replace the obstetrician's mass with Mars' mass and adjust the distance accordingly, considering the variable distance between Earth and Mars.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with gravitational constant (G) and its value
  • Basic algebra for manipulating equations
  • Knowledge of average distances in space, specifically between Earth and Mars
NEXT STEPS
  • Calculate gravitational force using the mass of Mars and the average distance from Earth
  • Learn about variations in distance between Earth and Mars during their orbits
  • Explore the implications of gravitational force in real-world scenarios
  • Study the concept of gravitational force in astrophysics
USEFUL FOR

Students in physics, educators teaching gravitational concepts, and anyone interested in understanding gravitational interactions between celestial bodies and objects on Earth.

LoveKnowledge
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1. Calculate the force of gravity between a newborn baby of mass 3 kg and the obstetrician of mass 100 kg, who is 0.5 m from the baby. Which exerts more gravitational force on he baby, Mars or the obstetrician? By how much?



2. F = G m1m2/d2



3. Fg = (Gm1 Gm2) /d^2 =Fg= g ( 3.00 kg)(100.0 kg)/0.5m^2 =Fg= (6.67 E -11 N*m2/kg2)( 3.00 kg)(100.00 kg)/0.5m^2

I don't seem to know how to do the math following plugging the equations together :(
 
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You're notation is a bit messy, I think, you have an extra G appearing and you're switching between g and G for the gravitational constant.

You've inserted the numbers right, though. Now just put the expression into a calculator to get a value for the force.

Then you'll need to look up the mass of Mars and how far away it is and replace 100kg with the mass of Mars and 0.5m with the distance to Mars. It's worth noting that the distance to Mars will vary because both Earth and Mars are moving. Maybe you could take the average distance or the maximum distance or the minimum distance, that's up to you, really.
 


loveknowledge said:
i don't seem to know how to do the math following plugging the equations together :( [/b]
bedmas
 

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