An artificial satellite moves around the earth in a circular orbit. If the distance between the center

| June 10, 2021 | education

An artificial satellite moves around the earth in a circular orbit. If the distance between the center of the Earth and the satellite’s orbit doubles, then the force of attraction of the satellite to the Earth: 1 will double? 2 will decrease by 2 times? 3 will quadruple? 4 will decrease by 4 times?

To calculate the change in the attraction of the indicated artificial satellite to the Earth, we use the ratio: n = Ftk / Ftn = m * gk / m * gn = gk / gn = (G * Mz / Rk ^ 2) / (G * Mz / Rn ^ 2) = Rn ^ 2 / Rk ^ 2 = (Rn / Rk) ^ 2.

Variable ratios: Rk (finite distance between the center of the Earth and the orbit of the specified artificial satellite) = 2Rn (initial distance).

Calculation: n = (Rn / Rk) ^ 2 = (Rn / 2Rn) ^ 2 = (1/2) ^ 2 = 1/4.

Answer: 4. The force of attraction of the said artificial satellite to the Earth will decrease by 4 times.



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