Question

Find the gravitational force between earth and moon given that mass of earth = 6×10²⁴kg,mass of moon=7.4×10²² and the centre to centre distance of earth and moon = 3.84×10⁸m.




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Answer 1

Answer:

moon=7.4×10²² and the centre to centre distance of earth and moon = 3.84×10⁸m.

Step-by-step explanation:

distance of earth and moon = 3.84×10⁸m.

Answer 2

Answer:

$Mass \: of \: the \: Earth \: m₁ = \\ 6 \times {10}^{24} kg$

$Mass \: of \: the \: Moon \: m₂ = \\ 7.4 × {10}^{22} kg$

$distance \: between \: earth \: and \: the \\ moon \: d = 3.84 \times {10}^{5} km \\ = 3.84 \times {10}^{8} m$

$gravitational \: constant \: \: G = 6.7 \ \times {10}^{ - 11} \frac{ {nm}^{2} }{ {kg}^{2} }$

$Now, \: by \: using \: Newton's \: \\ law \: of \: gravitation.$

$f = \frac{ Gm₁m₂ }{ {r}^{2} }$

$f = \frac{6.7 \times {10}^{ - 11} \times 6 \times {10}^{ 24} \times 7.4 × {10}^{22} }{(3.84 \times {10}^{ {8})^{2}} ) }$

confirm figure.1