A planet, orbiting a distant star, has been detected by both the transit and the

Question

A planet, orbiting a distant star, has been detected by both the transit and the Doppler technique, so we can calculate its density and get an idea of what kind of planet it is. part bThe mass of the planet is approximately 0.8 times the mass of Jupiter, and Jupiter's mass is about 1.9×1027 kilograms. Calculate the average density of the planet. Give your answer in grams per cubic centimeter. (Hint: To find the volume of the planet, use the formula for the volume of a sphere: V=4/3r3 . Be careful with unit conversions.) Express your answer using two significant figures.

Explanation / Answer

According to Given Data in Question

Mass of the Planet = (0.8 x1.9x1027) = 1561.04 kg

Radial velocity of Jupiter = 12.7 m/s or 45.72 km/hr

Using the Newton's Law of gravitation and orbit equation

V= cube root of GM/r

Gravitational Constant of Jupiter = 320112 km/h2

R= GM/V

R= 320112*1561.04/45.72

= 10929738.331 or 10.9 x 10 to the power 6

Density = Mass/ Volume

Density= (1561.04x3)/(4x3.14x10.9x10.9x10.9x10 to the power 18)

Therefore Density is 3.01 x 10 to the Power – 20 kg/m cube

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