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Density and pressure

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Question 30

The table below shows some data about four moons orbiting a gas giant planet:

MoonDiameter in kmDistance from Planet in 103 10^3\,103 kmTime of orbit in Earth days (d)Mass of moon in 102110^{21}1021 kg
Aegis12 0001501.52.4
Boreas4 0003004.20.15
Chimera8 00060012.00.80
Draco32 0001 80060.045.0

Use the table data to answer the following questions:

a.

Draco has the largest gravitational field strength. Suggest a reason for this.

[1]
b.

State the equation linking density, mass, and volume.

[1]
c.

Calculate the density of Chimera in kg/km3\text{kg/km}^3kg/km3. You may assume that Chimera is a sphere and that its volume is given by

volume=4πr33 \text{volume} = \frac{4\pi r^3}{3} volume=34πr3​
[3]
d.

Calculate the orbital speed of Aegis in km/s\text{km/s}km/s.

[3]

Density and pressure Questions

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