# The Moon's mass is 7.34✕10^22 kg, and it is 3.8✕10^8 m away from Earth. Earth's mass is 5.97✕10^24 kg. How would you calculate the gravitational force of attraction between Earth and the Moon? What is Earth's gravitational field at the Moon?

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13
Oct 28, 2015

$2.025 \cdot {10}^{20} , 0.002759$

#### Explanation:

a)$F = \frac{G \left(m 1\right) \left(m 2\right)}{{r}^{2}}$
F=(6.67300 × 10^(-11))(7.34 * 10^(22) kg)(5.97 * 10^(24) kg)/(3.8 * 10^(8) m)^2=2.025*10^(20)

b) The field is just G(m)/r^2
$\left(6.67300 \cdot {10}^{- 11}\right) \frac{5.97 \cdot {10}^{24} k g}{3.8 \cdot {10}^{8} m} ^ 2 = 0.002759$

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