Calculating Gravitational Force Between Two People

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To calculate the gravitational force between two people, each with a mass of 59 kg and standing 2 meters apart, use Newton's law of universal gravitation: Fg = G * (m1 * m2) / r^2. The gravitational constant G is approximately 6.673 x 10^-11 N(m/kg)^2. The correct calculation yields a force of approximately 5.8 x 10^-8 N. It's important to note that the weight equation W = mg is not applicable in this context. Understanding the distinction between weight and gravitational force is crucial for solving such problems.
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Homework Statement


what is the gravitational force acting on a person due to another person standing 2 meters away? assume each individual has 59kg mass.


Homework Equations


looks like i tried to use w=mgy
but that was wrong.
with that you get like 1156.4

The Attempt at a Solution


the answer is 5.8*10^-8N but idk how to get it
 
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Look up Newton's law of universal gravity. (W = mg is the weight of a body near the Earth's surface--the gravitational attraction between the Earth and the body. You want the force between the two bodies.)
 
so Fg=G* (m1m2)/r^2 is g 9.8 or fg?
 
physicsgurl12 said:
so Fg=G* (m1m2)/r^2
That's the correct equation. But there's no 'g' in that equation. What you need is the gravitational constant G. (Look it up.)
 
its 6.673*10^-11 thanks i got it now
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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