How Do Two Objects Attract Each Other Gravitationally?

In summary, gravity is the force that pulls objects towards each other and is responsible for keeping planets in orbit around the sun. The strength of gravity on a planet is determined by its mass and size, and the reason planets do not fall into the sun is due to their orbital motion. The force of gravity is not the same on all planets and can affect the shape of a planet by causing it to be compressed and flattened at the poles.
  • #1
Angelofhappiness
3
0
Two objects attract each other gravitationally with a force of 3.5 10-10 N when they are 0.33 m apart. Their total mass is 4.0 kg. Find their individual masses.
larger mass kg ?
smaller mass kg ?
 
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  • #2
I don't think anyone will help you with this one because it relies on a formula that you must know, which you should read your textbook to discover.
 
  • #3


I would first like to clarify that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This is known as Newton's Law of Universal Gravitation.

Using this law, we can solve for the individual masses of the two objects in question. Let's call the larger mass "M" and the smaller mass "m". We can set up the following equation:

3.5 x 10^-10 N = (6.67 x 10^-11 Nm^2/kg^2) x (M x m) / (0.33 m)^2

Solving for M and m, we get:

M = (3.5 x 10^-10 N x 0.33 m^2) / (6.67 x 10^-11 Nm^2/kg^2 x m) = 1.662 kg

m = (3.5 x 10^-10 N x 0.33 m^2) / (6.67 x 10^-11 Nm^2/kg^2 x M) = 2.398 kg

Therefore, the larger mass is 1.662 kg and the smaller mass is 2.398 kg. It is important to note that the masses of the objects are relatively close to each other, which is why the force of gravity between them is relatively small. This is in line with the inverse relationship between force and distance in Newton's Law of Universal Gravitation.
 

Related to How Do Two Objects Attract Each Other Gravitationally?

1. How does gravity affect the motion of planets?

Gravity is the force that pulls objects towards each other. In the context of planets, gravity is responsible for keeping them in orbit around the sun and maintaining their motion along their orbits.

2. What determines the strength of gravity on a planet?

The strength of gravity on a planet is determined by its mass and size. The larger and more massive a planet is, the stronger its gravity will be.

3. Why do planets not fall into the sun due to gravity?

The reason planets do not fall into the sun is because of their orbital motion. The gravitational force between the sun and the planet causes the planet to constantly fall towards the sun, but its forward motion keeps it from getting closer and closer.

4. Does the force of gravity act the same on all planets?

No, the force of gravity is not the same on all planets. It depends on the mass and size of the planet. For example, the force of gravity on Earth is greater than the force of gravity on Mars due to Earth's larger mass.

5. Can gravity affect the shape of a planet?

Yes, gravity can affect the shape of a planet. The mass and gravity of a planet can cause it to be compressed and flattened at the poles, resulting in an oblate spheroid shape rather than a perfect sphere.

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