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title: "Two satellites of equal mass, \\( S_1 \\) and \\( S_2 \\), orbit the Earth. \\( S_1 \\) is orbiting at a distance \\( r \\) from the Earth’s centre at speed \\( v \\). \\( S_2 \\) orbits at a distance \\( 2r \\) from the Earth’s centre at speed \\( \\dfrac{v}{\\sqrt{2}} \\). The ratio of the centripetal force on \\( S_1 \\) to the centripetal force on \\( S_2 \\) is"
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url: "https://nerd-notes.com/ubq/88319/"
date_modified: "2025-09-22T10:15:15+00:00"
---

# Two satellites of equal mass, \( S_1 \) and \( S_2 \), orbit the Earth. \( S_1 \) is orbiting at a distance \( r \) from the Earth’s centre at speed \( v \). \( S_2 \) orbits at a distance \( 2r \) from the Earth’s centre at speed \( \dfrac{v}{\sqrt{2}} \). The ratio of the centripetal force on \( S_1 \) to the centripetal force on \( S_2 \) is

Two satellites of equal mass, \( S_1 \) and \( S_2 \), orbit the Earth. \( S_1 \) is orbiting at a distance \( r \) from the Earth’s center at speed \( v \). \( S_2 \) orbits at a distance \( 2r \) from the Earth’s centre at speed \( \dfrac{v}{\sqrt{2}} \). The ratio of the centripetal force on \( S_1 \) to the centripetal force on \( S_2 \) is

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