A planet is estimated to have a mass of 2.690 x 1024 kg. Assuming the planet is a sphere of average radius 5291 km, calculate the average density of the planet in units of g/cm3.Group of answer choices
Question
A planet is estimated to have a mass of 2.690 x 1024 kg. Assuming the planet is a sphere of average radius 5291 km, calculate the average density of the planet in units of g/cm3.Group of answer choices
Solution
Sure, here are the steps to calculate the average density of the planet:
Step 1: Convert the radius from kilometers to centimeters. 1 km = 100,000 cm, so 5291 km = 5291 * 100,000 = 529,100,000 cm.
Step 2: Calculate the volume of the planet using the formula for the volume of a sphere, which is V = 4/3 * π * r^3. V = 4/3 * π * (529,100,000 cm)^3 = 6.22 x 10^23 cm^3.
Step 3: Convert the mass from kilograms to grams. 1 kg = 1000 g, so 2.690 x 10^24 kg = 2.690 x 10^27 g.
Step 4: Calculate the average density using the formula density = mass/volume. Density = (2.690 x 10^27 g) / (6.22 x 10^23 cm^3) = 4.32 g/cm^3.
So, the average density of the planet is 4.32 g/cm^3.
Similar Questions
Calculate the average density of earth in terms of G,R,M ? (Hint - volume of a sphere is = 4/3 π r³)
An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 10 N. The radius of the planet is 4.0 × 106 m. What is the mass of Planet X? (G = 6.67 × 10−11 N × m2/kg2)Select one:a.4.8 × 1024 kgb.17 × 1022 kgc.9.6 × 1024 kgd.13 × 1019 kg
The density of a substance is 676.68 kg/m3. Convert the density to g/cm3.Group of answer choices67668 g/cm36.77 g/cm30.677 g/cm367.7 g/cm3
The ratio of the weights of a body on Earth’s surface to that on the surface of a planet is 9:4 The mass of the planet is 19th of that of the Earth. If R is the radius of the Earth, what is the radius of the planet? (Take the planets to have the same mass density)
(a)An object has a density of 25kgm3 and a volume of 80m3. What is the mass of the object?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.