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Two astronauts of mass 100 kg are 2 m apart in outer space. What is the force of gravity between them? (G = 6.67 10-11 N•m2/kg2)

 Jan 2, 2017

Best Answer 

 #1
avatar+101 
+10

Let m1 = m2 = m ( the mass of the astronaut )

the force F is equal to (G*m1*m2)/d² where d is the distance between the two astronauts

\(f=\frac{G{m}_{1}{m}_{2}}{d²}\)

\(f=\frac{Gm²}{d²}\)

\(f=\frac{6.67*{10}^{-11}*{10}^{4}}{4} = 1.6675*{10}^{-7} N\)

that means there is an attracted force between any two material objects.

This force is proportionally inversed with the square of the distance separating the two objects

according to the result, this force isn't noticibale (1.6675*10^7 is practically 0), that's why we can't feel it

 Jan 2, 2017
 #1
avatar+101 
+10
Best Answer

Let m1 = m2 = m ( the mass of the astronaut )

the force F is equal to (G*m1*m2)/d² where d is the distance between the two astronauts

\(f=\frac{G{m}_{1}{m}_{2}}{d²}\)

\(f=\frac{Gm²}{d²}\)

\(f=\frac{6.67*{10}^{-11}*{10}^{4}}{4} = 1.6675*{10}^{-7} N\)

that means there is an attracted force between any two material objects.

This force is proportionally inversed with the square of the distance separating the two objects

according to the result, this force isn't noticibale (1.6675*10^7 is practically 0), that's why we can't feel it

Majid Jan 2, 2017
 #2
avatar+129609 
+5

Very nice, Majid....!!!!

 

 

cool cool cool

 Jan 2, 2017

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