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As a result of his observations, Ole Roemer concluded that eclipses of Io by Jupiter were delayed by 22 min during a six–month period as the Earth moved from the point in its orbit where it is closest to Jupiter to the diametrically opposite point where it is farthest from Jupiter. Using the value 1.50 108 km as the average radius of the Earth's orbit around the Sun, calculate the speed of light from these data.

Respuesta :

Answer:

Explanation:

We can solve this exercise using uniform motion relationships.

        v = d / t

The distance the Earth's orbit (Re) is 1.50 10⁸ km (10³m/1km)= 1.50 10¹¹ m. If we assume that the Earth's orbit is circular in the six months, there is a diameter whereby the distance traveled is

        d = 2 Re

Let's reduce time to units Yes

         t = 22 min (60s / 1 min)

         t = 1320 s

Let's calculate

        v = 2  1.50 10¹¹/1320

        v = 2.27 10⁸ m / s

A closer value can be found if Jupiter's movement is taken into account

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