A 464-kg satellite is in orbit around Earth 16,000 km above Earth’s surface. While the satellite orbits Earth, what force does the satellite exert on Earth?

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Chapter1: Units, Trigonometry. And Vectors
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A 464-kg satellite is in orbit around Earth 16,000 km above Earth’s surface. While the satellite orbits Earth, what force does the satellite exert on Earth?

Expert Solution
Step 1: Expression of force

Write the expression for the force exerted by the satellite on the Earth.

table row cell F equals fraction numerator G M m over denominator r squared end fraction end cell row cell F equals fraction numerator G M m over denominator left parenthesis R subscript E plus h right parenthesis squared end fraction end cell end table

Here, GM is the mass of the Earth, m is the mass of the satellite, RE is the radius of the Earth, and h is the height of the satellite above the Earth's surface.

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