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Space travel and life on other planets - CCEALight years and distance calculations – Higher

Space exploration has benefited many areas of science and technology including satellites and GPS. However, it carries significant risks including radiation, extreme temperatures and high speed impacts.

Part of Physics (Single Science)Space physics

Calculations involving light years and distance – Higher

A light year is a distance.

It is the distance light travels in one year.

As light travels at constant speed, the distance light travels in a year can be calculated using the equation:

Distance = speed x time

Speed of light = 300,000,000 m/s = 3 x 108 m/s

time = 1 year = 365 x 24 x 60 x 60 = 31,536,000 s

1 light year = 3 x108 m/s x 31,536,000 s = 9.46 x 1015 metres

1 light year = 9.46 x 1015 m

Example

A galaxy is found to be 20 million light years away. How far is that in metres?

Answer

20 million light years can be written as 20,000,000 light years or 20 x 106 light years.

1 light year = 9.46 x 1015 metres

20 x 106 light years = 20 x 106 x 9.46 x 1015 metres = 1.89 x 1023 m

The galaxy is 1.89 x 1023 m away.

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