Question

problem set #6 begin date: 10/10/2025 12:01:00 am due date: 10/16/2025 11:59:00 pm end date: 10/19/2025 11:59:00 pm
problem 12: (7% of assignment value)
the planet jupiter has a mass of 1.9×10²⁷ kg and a radius of 72,000 km. the earth, meanwhile, has a mass of 6.0×10²⁴ kg and a radius of 6,400 km.

• part (a)

what is the volume v of jupiter in m³?
v = 1.56 * 10²⁴
v = 1.560×10²⁴ m³

• part (b)

calculate the density ρ of jupiter in kg/m³.
ρ = 1.22 * 10³
ρ = 1220 kg/m³

• part (c)

what is the volume v of earth in m³?
v = 1.10 * 10²¹
v = 1.100×10²¹ m³

• part (d)

calculate the density ρ of earth in kg/m³.
ρ = 5.45 * 10³
ρ = 5450 kg/m³

• part (e)

is jupiter more or less dense than the earth?
more dense less dense

Explanation:

Step1: Compare densities

Compare Jupiter's density ($
ho_{Jupiter}=1220\ \text{kg/m}^3$) and Earth's density ($
ho_{Earth}=5450\ \text{kg/m}^3$).

Step2: Determine result

Since $1220<5450$, Jupiter is less dense.

Answer:

Less dense