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Question
Imagine that the gravitational force between Earth and Moon is provided by an invisible string that exists between the Moon and Earth. What is the tension that exists in this invisible string due to Earth’s centripetal force? (Mass of the Moon = 7.34 × 1022 kg, Distance between Moon and Earth = 3.84 × 108 m)
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Solution
Given,
Mass of the moon = 7.34 × 1022 kg
Distance between moon and earth = 3.84 × 108 m
Centripetal force = F = `(mV^2)/r = (7.34 xx 10^22 xx (1.023 xx 10^3)^2)/(3.84 xx 10^8) = 2 xx 10^20`N.
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