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The planet orbiting this star has been detected by both the transit and Doppler

ID: 1533565 • Letter: T

Question

The planet orbiting this star has been detected by both the transit and Doppler techniques, so we can calculate its density and get an idea of what kind of planet it is.

The mass of the planet is approximately 0.75 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: 43(radius)3. Be careful with unit conversions.)

Radius is: 8.4 x 104

Explanation / Answer

Density=p=M/V=0.75*1.9*10^27/(4/3*pi*84000^3)=5.74*10^11 kg/km^3

P(in kg/km^3)*(1000g/1kg)*(1km/10^5cm)^3= 0.574 g/cm^3

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