Physics – 6.1.2 The Solar System | e-Consult

Answer:

1. Convert the density from g/cm³ to kg/m³:

1.2 g/cm³ * (1 kg / 1000 g) * (100 cm / 1 m)³ = 1200 kg/m³

2. Use the formula relating density (ρ), mass (M), and volume (V):

ρ = M / V

3. Rearrange the formula to solve for mass (M):

M = ρ * V

4. Calculate the volume of the planet, assuming it is a sphere:

V = (4/3) * π * r³

V = (4/3) * π * (6.0 x 10⁷ m)³

V = (4/3) * π * 2.16 x 10²² m³

V = 9.05 x 10²² m³

5. Calculate the mass of the planet:

M = 1200 kg/m³ * 9.05 x 10²² m³

M = 1.086 x 10²⁶ kg

Therefore, the mass of the gas giant planet is approximately 1.09 x 10²⁶ kg.