1. Suppose an earth-like planet is doscovered around one of the nearest stars, 1

Question

1. Suppose an earth-like planet is doscovered around one of the nearest stars, 10.0 lightyears away. One lightyear is the distance light travels in one year, traveling through empty space at the speed of c= 3.00E8 m/s. How far away is the star in kilometers and miles? How many millions, billions, trillions, etc.... km is this?

2. The Earth is 150 million km from the Sun, termed an Astronomical Unit, or 1 Au. How many times farther away is the syar from the Earth, compared to the Earth from the Sun? How many millions, billions, trillions, etc.... km is this?

Explanation / Answer

1.

1 light year = distance light travels in 1 year with a speed of 3x108m/s

1light year,d = 3x108x365x24x60x60 = 9.5x1015m

Star is 10 light years away, that is 10d= 10*9.5x1015m = 9.5x1016 m = 9.5x1013 km =5.9x1013miles

= 59x106million milesor 95x106 million km

2)

Sun is 150 million km far from the Earth

Star is 95000000 million km far from the Earth

So the distance between star and earth is 0.63 million km times compared to distance between earth and sun.

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