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18 March, 21:56

A space probe produces a radio signal pulse. If the pulse reaches Earth 12.3 seconds after it is emitted by the probe, what is the distance from the probe to Earth?

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  1. 19 March, 01:06
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    Distance = 3.69 * 10^9 m

    The distance from the probe to Earth is 3.69 * 10^9 m

    Explanation:

    Distance from the probe to the Earth can be derived using the simple motion formula;

    Distance = speed * time ... 1

    Since a radio signal uses an electromagnetic wave to transfer signal, it has the same speed as the speed of light.

    Speed of radio signal = speed of light = 3.0 * 10^8 m/s

    time taken to reach the earth = 12.3 seconds

    Substituting the values of speed and time into equation 1;

    Distance = 3.0 * 10^8 m/s * 12.3 s

    Distance = 36.9 * 10^8 m

    Distance = 3.69 * 10^9 m

    Note: all electromagnetic radiation have the same speed which is equal to 3.0 * 10^8 m/s
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