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Problem 35 Easy Difficulty

Calculate the force of gravity that Earth (mass $6.0 \times$ $10^{24} {kg} )$ and the Moon (mass $7.4 \times 10^{22} {kg}$ ) exert on each other. The average Earth-Moon distance is $3.8 \times$ $10^{8} {m} .$

Answer

$2.05 \times 10^{20} \mathrm{N}$

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Video Transcript

The gravitational force between art and move is given by the Newton's universal law of gravitation. That is, Ah, additional constant of Mars off the moon times the mass off their art divided by the distance between the inner centers square Just be square waken Substitute the values for gvt 6.67 times 10 to the power minus 11 minus 11 times the mass of the moment we have a 7.4. I'm staying to the power 22 kg. This multiplies with the mask the hurt which his six times 10 to the power 34. Cagey, derided by the distance between their centers, which is ah, three point it constant power eight meter in square. So simplifying this gives us the force between the mass between the art and movies. 2.1 dons tend to the power 20 Newton 22