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Your name is Zaphod Beeblebrox, and you are President of the Universe. You are a

ID: 1547498 • Letter: Y

Question

Your name is Zaphod Beeblebrox, and you are President of the Universe. You are aboard SpaceForce One headed toward the Solar System. Current plans are to dismantle Earth in order to make way for a hyperspatial express bypass. Your job as President is to shake hands, or fins rather, with the planet’s most intelligent species known as Dolphins and see if they would be interested in turning the Solar System into a destination retirement suburb. Simply dismantling the Solar System’s largest planet, Jupiter, could provide the raw materials to make what the Vogons would call a super-nifty retirement housing project that they want to call the Solar Suburb Dyson Sphere (SSDS).

Being Zaphod, you are very apt at making friends. While hanging out with Mark and Sarah, two particularly fun members of the Dolphin species, you let them know about your plans to steal the Heart of Gold. Sarah points out you should just go ahead and take Mars, which no one is using right now, and turn it into a black hole. To what radius do you need to compress Mars in order to turn it into a black hole?

Explanation / Answer

Rs ( Schwarzschild radius) = 2GM/c^2

G = gravatational constant, M = mass of mars, c = speedof light

Rs= 6.67 x 10^ -11 ( 6.39 × 10^23 kg ) / ( 3 x 10^8) 2 = 4.7357 x 10^ -4 m