A (70-mathrm{kg}) student is falling toward Earth. (a) Draw one free-body diagram for Earth and one for

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A \(70-\mathrm{kg}\) student is falling toward Earth.

(a) Draw one free-body diagram for Earth and one for the student. Assume that air resistance can be ignored.

(b) Calculate the student's acceleration and the vector sum of forces exerted on him.

(c) Earth's inertia is \(5.97 \times 10^{24} \mathrm{~kg}\). What is the magnitude of the planet's acceleration toward the student?

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