Calculating the Ratio of Planet Masses Using Newton's Law of Gravitation

In summary, the ratio of planet masses is the comparison of the masses of different planets in our solar system or in other planetary systems. Scientists determine this ratio through various methods such as measuring gravitational pull, studying orbits, and using mathematical equations. This ratio is important for understanding planet composition and formation, as well as the relationships between different planets. The average ratio of planet masses in our solar system varies, with an average of 1:17 between the inner and outer planets. This ratio can also change over time due to factors such as collisions and new discoveries.
  • #1
puzzled2
1
0

Homework Statement



The weight of an object of mass 1kg at the surface of Mars is about 4N. The radius of Mars is about half the radius of Earth. Estimate the ratio:

mass of Mars/Mass of Earth


Homework Equations





The Attempt at a Solution




The answer is 0.1 but I don’t see where that comes from? 1kg would be 10N on Earth but 4/10 is 0.4 not 0.1? I’m assuming the radius is important but I don’t know how.
 
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  • #2
Hi puzzled2, welcome to PF.

Can you write Newton's law of gravitation for the two cases?
 

Related to Calculating the Ratio of Planet Masses Using Newton's Law of Gravitation

1. What is the ratio of planet masses?

The ratio of planet masses refers to the comparison of the masses of different planets in our solar system or in other planetary systems. It can be calculated by dividing the mass of one planet by the mass of another planet.

2. How do scientists determine the ratio of planet masses?

Scientists determine the ratio of planet masses through various methods such as measuring the gravitational pull between planets, studying their orbits, and observing their effects on other celestial bodies. They also use mathematical equations and models to calculate the mass ratio.

3. Why is the ratio of planet masses important?

The ratio of planet masses is important because it provides valuable information about the composition and formation of planets. It can also help scientists understand the relationships between different planets and their roles in the larger planetary system.

4. What is the average ratio of planet masses in our solar system?

The average ratio of planet masses in our solar system varies greatly, as the planets range from small rocky planets like Mercury to large gas giants like Jupiter. However, the average ratio of the mass of the four inner planets (Mercury, Venus, Earth, and Mars) to the four outer planets (Jupiter, Saturn, Uranus, and Neptune) is approximately 1:17.

5. Can the ratio of planet masses change over time?

Yes, the ratio of planet masses can change over time due to various factors such as collisions with other objects, changes in orbits, and volcanic activity. It is also possible for the ratio to change as new discoveries are made about the masses of planets in our solar system and beyond.

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