A communications satellite orbits (1.4 times 10^{7} mathrm{~m}) from Earth's center, at a location where the magnitude

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A communications satellite orbits \(1.4 \times 10^{7} \mathrm{~m}\) from Earth's center, at a location where the magnitude of Earth's gravitational field is \(2.0 \mathrm{~N} / \mathrm{kg}\).

(a) If the mass of the satellite is \(m_{\mathrm{s}}=2000 \mathrm{~kg}\), what is the magnitude of \(\vec{F}_{\text {Es }}^{G}\) ?

(b) If you place a \(0.20-\mathrm{kg}\) ball at the satellite's location, what is the magnitude of \(\vec{F}_{\mathrm{Eb}}^{G}\) ?

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