contestada

The nearest star to the earth is Proxima Centuri. It is 4x1016 meters from New York City. The distance to Perth on the exact

other side of the globe is about 11,000 miles. Given that 1 mi = 1609 m, how many orders of magnitude

further from New York is Proxima Centuri compared to Perth?

Note: An order of magnitude is an estimate of size based on how many multiples of ten something is bigger or smaller compared

to something else. If I have $1 and you have $200 we can say you have 2 orders of magnitude more money than me because it is

two factors of 10 larger. If you had $1,000,000 it would be 6 orders of magnitude more. For this question we don't want you to say

exactly how much farther this star is, but approximate in terms of orders of magnitude.

Respuesta :

mickymike92

Answer:

Proxima Centuri is 9 orders of magnitude further from New York compared to Perth

Explanation:

Distance of Proxima Centuri to New York = 4 × 10^16 meters

Distance of Proxima Centuri to Perth = 11000 miles

Since 1 mile = 1609 meters, distance to Perth in meters = 11000 × 1609

Distance to Perth = 17699000 = 1.7699 × 10^7 meters

Order of magnitude of the distances of Proxima Centuri to New York and Perth = 10^16/10^7

Order of magnitude = 10^9

Therefore, Proxima Centuri is 9 orders of magnitude further from New York compared to Perth.