Question

1 of 2) 10.0 points Saturn has a mass of 5.64 × 1026 kg and radius 6×107 m. Calculate its density. Answer in units of kg/m3.

034 (part 2 of 2) 10.0 points If this planet were placed in a large enough ocean of water, would it float?
1. Yes
2. No
3. More information is needed

Answer 1

1. density: 623 kg/m^3
2. Yes

Explanation:

1. Density is mass per unit volume. Assuming the planet is a sphere, the density is about ...

ρ = (5.64·10^26 kg)/((4/3)π·(6·10^7 m)^3) = 5.64/9.05 · 10^(26-23) kg/m^3

ρ ≈ 623 kg/m^3

2. Seawater has a density of about 1025 kg/m^3. Saturn has an average density that is less, so it would float (yes).