Question

calculate gravitational force between the the earth and the moon.The mass of the earth is 6 x 10²⁴ Kg and that of the moon is 7.4×10²² Kg and the distance between them is 3.84 ×10⁵Km​

Answer 1

Answer:

Given that,

Mass of the Earth mm =6×10²⁴Kg

Mass of the Moon mm =7.4×10²² kg

Distance between the Earth and the Moon D=3.84×10⁵km=3.84×10⁸m

Gravitational Constant G=6.7×10-¹¹Nm²/kg²

Gm1m2

Now, by using Newton’s law of gravitation F = ---------------

r²

6.7×10-¹¹×6×10²⁴×7.4×10²²

F = ----------------------------------------

(3.84×10⁸)²

297.48×10³⁵

F = ----------------------

14.8225×10¹⁶

F = 20.069×10¹⁹

F = 20.1×10¹⁹N

Hence, the gravitational force of attraction is 20.1×10¹⁹N

Step-by-step explanation:

I hope it'll help you ✌️

Answer 2

$\huge \sf {\fbox{\fbox{\red{\fbox{Answer:}}}}}$

$\huge \bf{Given:-}$

$\sf {→Mass \: of \: the \: earth,m_1 = 6 \times{{10}^{24} }}$

$\sf {→Mass \: of \: the \: moon,m_2 = 7.4\times{{10}^{22} }}$

$\sf {→Distance \: between \: the \: earth \: and \: moon,r = 3.84\times{{10}^{5} }}$

$\sf {→Distance \: between \: the \: earth \: and \: moon,r = (3.84\times{{10}^{5} \times 1000)m }}$

$\sf {→Distance \: between \: the \: earth \: and \: moon,r = 3.84\times{{10}^{8}m}}$

$\huge \bf{To \: find:- }$

$\sf{⇒Force \: exerted \: to \: one \: body \: to \: another \: body.}$

$\huge \bf{Formula \: used: - }$

$\leadsto\sf{F =G \times \frac{m_1 \times m_2}{r^2} }$

$\huge \bf{Concept \: used: - }$

$\sf{Gravitational \: constant,G=6.7 \times {10}^{- 11N} N{m}^{2}k {g}^{ - 2} }$

$\huge\bf{According \: to \: Question:-}$

$\bf{F = \frac{6.7 \times {10}^{ - 11} \times 6 \times {10}^{24} \times 7.4 \times {10}^{22}} {(3.84 \times {10}^{8} )^{2} } = 2.01 \times {10}^{20} newtons}$

$\sf\longmapsto{2.01 \times {10}^{20} newtons}$

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