Calculating Gravitational Force: Baby vs Mars

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To calculate the gravitational force between a newborn baby (3 kg) and an obstetrician (100 kg) at a distance of 0.5 m, the formula F = G m1m2/d^2 is used. The gravitational constant G is approximately 6.67 x 10^-11 N*m^2/kg^2. After substituting the values into the equation, the calculation can be completed using a calculator to find the force. Additionally, to compare this force with that exerted by Mars, the mass of Mars and its average distance from Earth must be used, noting that this distance varies. The discussion highlights the importance of correctly applying the gravitational formula and understanding the variables involved.
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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