Attraction and gravitational force.

In summary, two objects with a combined mass of 4.0 kg attract each other with a force of 2.7 x 10-10 N when they are 0.25 m apart. Using Newton's Law of Gravity, we can find the individual masses by setting up an equation with the known values and solving for M1 and M2. The equation will involve the gravitational constant, the distance between the objects, and the individual masses. Using this equation and the given information, we can determine the individual masses of the objects.
  • #1
fineztpaki
13
0

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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  • #2
Use Newton's Law of Gravity. (No guessing allowed!)

Call the masses M1 and M2, if you like.
 
  • #3
ahh.. i still don't get it?
 
  • #5
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.
 
  • #6
thanks
 

1. How does attraction occur between objects?

The force of attraction between two objects is due to their masses. Objects with larger masses will have a stronger gravitational pull, resulting in a greater force of attraction between them.

2. What is the formula for calculating gravitational force?

The formula for calculating gravitational force is F = G (m1m2)/d², where G is the universal gravitational constant, m1 and m2 are the masses of the two objects, and d is the distance between them.

3. Does distance affect the strength of gravitational force?

Yes, the strength of gravitational force decreases as the distance between two objects increases. This is because the force of attraction is inversely proportional to the square of the distance between the objects.

4. How does gravitational force affect the motion of objects?

Gravitational force affects the motion of objects by causing them to accelerate towards each other. This acceleration is directly proportional to the masses of the objects and inversely proportional to the square of the distance between them.

5. Can gravitational force be shielded or blocked?

No, gravitational force cannot be shielded or blocked. It is a fundamental force of nature that acts on all objects with mass, regardless of any barriers or obstacles between them.

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