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The Moon's mass is $7.34 \times 10^{22} \mathrm{kg},$ and it is $3.8 \times 10^{8} \mathrm{m}$ away from Earth. Earth's mass is $5.97 \times 10^{24} \mathrm{kg}.$

a. Calculate the gravitational force of attraction between Earth and the Moon.

b. Find Earth's gravitational field at the Moon.

a) $2.0 \times 10^{20} N$

b) $0.0027 \mathrm{~N} / \mathrm{kg}$

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