Science, asked by Dhruv2719, 10 months ago

Example 10.1 The mass of the earth is
6 x 1024 kg and that of the moon is
7.4 x 1022 kg. If the distance between the
earth and the moon is 3.84X105 km,
calculate the force exerted by the earth on
the moon. (Take G= 6.7 x 10-N m2 kg-​

Answers

Answered by BendingReality
7

Answer:

2 × 10³⁰ N

Explanation:

Given :

Mass of earth = 6 × 10²⁴ kg

Mass of moon = 7.4 × 10²² kg

Distance between them = 3.84105 km = 3.84105 × 10³ m

We have value of G = 6.7 × 10⁻¹¹ N m² kg⁻²

We have to find force :

We have :

F = G m₁ m₂ / r²

F = ( 6.7 × 10⁻¹¹ ) ( 6 × 10²⁴ ) ( 7.4 × 10²² ) / (  3.84105 × 10³ )² N

F = 2 × 10³⁰ N

Hence force exerted by the earth on the moon is 2 × 10³⁰ N.

Answered by shaktisrivastava1234
20

 \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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