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While looking through the Mt. Palomer telescope, you discover a large planetary

ID: 2091755 • Letter: W

Question

While looking through the Mt. Palomer telescope, you discover a large planetary object orbited by a single moon. The moon orbits the planet every 7.85 hours with the centers of the two objects separated by a distance roughly 2.20 times the radius of the planet. Fellow scientists that the planet is made of mostly iron. In fact, the media has dubbed it the "Iron Planet" and NASA has even named it Planet Hephaestus after the Greek god of iron. But you have your doubts. Assuming the planet is spherical and the orbit circular, calculate the density of Planet Hephaestus.

Explanation / Answer

velocity of the planet
2*pie*2.05*R/(7.85*3600)

G*massof planet/(2.20*R)^2 = V^2/2.20R

putting the velocity value
mass/(2.20*R)^3= 4*pie^2/((7.85*3600)^2*G)

and iron desity is 7500 so it is not iron planet