Determine the density of a planet in SI units

In summary, the formula for determining the density of a planet in SI units is ρ = m/V, where ρ is density in kg/m^3, m is mass in kg, and V is volume in m^3. The mass of a planet can be measured using Newton's second law of motion, while the volume can be calculated using the formula V = (4/3)πr^3. The density of a planet can change over time due to various factors such as geological processes and impact events. The typical range of densities for planets in our solar system is 0.1 g/cm^3 to 5.5 g/cm^3.
  • #1
surfingian
1
0

Homework Statement


Determine the density of fictional planet in SI units from the information


Homework Equations


Planets mass 1.28x10^22 Kg divided by radius 1.12x10^3Km = 1.14x10^25 Kg/m3

The Attempt at a Solution


My answer seems all wrong, the SI unit should be in Kg/m cubed. Is radius equal to the volume as I feel that this is where the calculation went wrong, or maybe what I have got is right.
 
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  • #2
welcome to pf!

hi surfingian! welcome to pf! :smile:

density is per volume :wink:
 
  • #3
The radius is not the volume. ##Volume=\frac{4}{3} \pi r^3##
 

FAQ: Determine the density of a planet in SI units

What is the formula for determining the density of a planet in SI units?

The formula for determining the density of a planet is mass divided by volume. In SI units, this formula would be written as ρ = m/V, where ρ is density in kilograms per cubic meter (kg/m^3), m is mass in kilograms (kg), and V is volume in cubic meters (m^3).

How do you measure the mass of a planet in SI units?

The mass of a planet can be measured by using Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma). By measuring the planet's acceleration due to gravity and knowing the distance from the planet's center, the mass can be calculated using the formula m = F/g, where m is mass in kilograms (kg), F is force in Newtons (N), and g is acceleration due to gravity in meters per second squared (m/s^2).

How is the volume of a planet calculated in SI units?

The volume of a planet can be calculated using its radius and the formula for the volume of a sphere, V = (4/3)πr^3. The radius of the planet can be measured using satellite imaging or by sending probes to the planet's surface.

Can the density of a planet change over time?

Yes, the density of a planet can change over time. Factors such as geological processes, atmospheric changes, and impact events can all affect the density of a planet. For example, if a planet experiences a significant impact from a large asteroid, it may cause the planet's density to change due to the redistribution of mass.

What is the typical range of densities for planets in our solar system?

The densities of planets in our solar system can vary greatly depending on their composition. For example, gas giants like Jupiter have much lower densities compared to rocky planets like Earth. On average, the densities of planets in our solar system range from 0.1 g/cm^3 (Jupiter) to 5.5 g/cm^3 (Earth).

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