Calculate Density Ratio of Giant Planet to Earth

In summary, a newly discovered giant planet with an average radius 13 times that of Earth and a mass 963 times that of Earth has a density of 1.077760735e25. To find the volume of the new planet, the mass was multiplied by 963 and divided by 169PI, resulting in a density of 2.663709251E17. This is then divided by the density of Earth, 5515E3, to find the ratio of the new planet's density to Earth's density.
  • #1
runner1738
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A newly discovered giant planet has an average radius 13 times that of the Earth and a mass 963 times that of the Earth. Calculate the ration of the new planet's density to the Earth's density.
 
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  • #2
Find the volume of the new planet and hence its density, then divide that by the density of the Earth (you won't even need to do that numerically).
 
  • #3
ok so this is what i did, 5.942x10^24 kg X 963/(169PI) = density that right?
 
  • #4
i got 1.077760735e 25
 
  • #5
still getting it wrong but now i have the density of the new planet as 2.663709251E17/ density of Earth 5515E3? (right?)
 

1. What is the formula for calculating the density ratio of a giant planet to Earth?

The formula for calculating density ratio is: (Planet's density in g/cm³) / (Earth's density in g/cm³).

2. How do you determine the density of a giant planet?

The density of a giant planet can be determined using its mass and volume. The mass can be calculated using Newton's law of gravitation and the volume can be calculated using the planet's radius or diameter.

3. Can the density ratio of a giant planet change over time?

Yes, the density ratio of a giant planet can change over time due to factors such as atmospheric changes, geological processes, and tidal forces.

4. What is the average density ratio of a giant planet to Earth?

The average density ratio of a giant planet to Earth is around 1.3, meaning that giant planets are generally less dense than Earth.

5. How does the density ratio of a giant planet affect its composition?

The density ratio of a giant planet can give insight into its composition. A higher density ratio indicates a higher proportion of heavier elements, while a lower density ratio indicates a higher proportion of lighter elements such as hydrogen and helium.

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