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17 May, 10:25

A planet has a circular orbit around a star. It is a distance of 74,000,000 km from the centre of the star. It orbits at an average speed of 38,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.

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  1. 17 May, 12:51
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    81.14 Earth days.

    Step-by-step explanation:

    Step 1

    The formula to solve this question is given as

    Speed = Distance / Time

    In the question, we are given the following values

    Distance of the planet = 74,000,000 km

    Average Speed of the planet = 38,000 km/h.

    Average Speed = Distance / Time

    38,000 km/h = 74,000,000 km / Time

    Cross Multiply

    38,000 km/h * Time = 74,000,000 km

    Divide both sides by 38,000 km/h

    Time (hours) = 74,000,000 km / 38,000 km/h

    Time (hours) = 1947.3684211 hours

    This means the circular orbit of the planet around the star takes 1947.3684211 hours.

    Step 2

    In the question, we were asked to find how many Earth days it takes.

    Hence, it is known that

    24 hours = 1 (Earth) day

    1947.3684211 hours = x days

    We would cross Multiply

    24 hours * x days = 1947.3684211 hours.

    Divide both sides by 24 hours

    x days = 1947.3684211 hours : 24 hours

    x days = 81.140350879 Earth days.

    Therefore, the number of Earth days it takes the planet to orbit the star to 2 significant figures =

    81.14 Earth days.
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