Question

The Masses of earth and moon are 6x 10 kg and 7.4x10 kg respectively The distance between them is 3.84x10km calculate the gravitational force of attraction between the two ?
Use G=6.7x10 N m Kg

Answer 1

The answer is 2.025×10^20 N
Explanation --
Given --
Mass of Earth (m1) = 6×10^24 kg
Mass of Moon (m2) = 7.4×10^22 kg
Distance between them (r) = 3.844×10^5
Gravitational Constant (G) = 6.7×10^-11
Acc. to the equation --
$F = G \times \frac{m1 \times m2}{r {}^{2} }$
F = 6.7×10^-11 × (6×10^24 × 7.4×10^22)/(3.844×10^5 × 3.844×10^5) = 2.025×10^20 N
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