Attraction and gravitational force.

AI Thread Summary
Two objects exert a gravitational force of 2.7 x 10^-10 N when 0.25 m apart, with a total mass of 4.0 kg. To find their individual masses, Newton's Law of Gravitation can be applied, which states that the force is equal to the gravitational constant multiplied by the product of the two masses divided by the square of the distance between them. By defining the masses as M1 and M2, and knowing M1 + M2 = 4.0 kg, a relationship can be established between the two masses using the gravitational force equation. Substituting this relationship into the mass equation allows for solving M1 and M2. This approach provides a systematic method to determine the individual masses from the given data.
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Homework Statement


Two objects attract each other gravitationally with a force of 2.7 10-10 N when they are 0.25 m apart. Their total mass is 4.0 kg. Find their individual masses.
larger mass - I kind of guessed this was 4.0 kg but don't know how to do it.
smaller mass ? kg


The Attempt at a Solution



I don't quite understand how exactly this must be done. What formulas would i use?
 
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Use Newton's Law of Gravity. (No guessing allowed!)

Call the masses M1 and M2, if you like.
 
ahh.. i still don't get it?
 
take two masses M1 and M2. problem says that M1+M2= 4.
Newton's law of gravitation says that force between two objects of mass M1 and M2 is

F = (gravitational constant) x (M1) x (M2) / (square of the distance)

so u know F, gravitational constant, the value of distance. Substitute these values in the above equation, u going to get a relation beween M1 and M2 something like ,
M1= something times M2

substiute that in M1 + M2 = 4,
probably u get the answer.
 
thanks
 
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