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Let\'s say we scaled down the Sun to the size of a basketball. Alpha Centauri wo

ID: 1512613 • Letter: L

Question

Let's say we scaled down the Sun to the size of a basketball. Alpha Centauri would also be the size of a basketball, but how far away would it be at this scale? (Convert your answer to useful units!) The radius of the Sun is 7 times 10^10 cm, the, radius of a basketball is about 12 cm. and the distance to Alpha Centauri is 4 times 10^13 km. If one ball were in New York City, about where would you need to travel to place the second ball in your scale model? (And that's the Sun's closest neighbor! Outer space is mostly empty!)

Explanation / Answer

4*10^13 km = 4*10^18 cm
d = 4*10^18 * (conversion factor)
    = 4*10^18 * (12/(7*10^10))
     = 6.857*10^8 cm
     =6857 km


It will be los angeles