Physics, asked by harpreetk2194, 3 months ago

A sphere of mass 40 kg is attracted by a second sphere of mass 80 kg with a

gravitational force equal to 13.34 × 10-11 N. If G=6.67 x 10-11 Nm2

/kg2

, calculate distance

between them.​

Answers

Answered by nirman95
3

Bodies are separated by 40 metres.

Given:

  • 40 kg attracts 80 kg mass with a force of 13.34 × 10^(-11) Nm².

To find:

Distance between the bodies?

Calculation:

According to Gravitational Law,

F =  \dfrac{G(m1)(m2)}{ {d}^{2} }

  • G is Universal Gravitational Constant and 'd' is separation distance

 \implies  {d}^{2}  =  \dfrac{G(m1)(m2)}{ F}

 \implies  {d}^{2}  =  \dfrac{6.67 \times  {10}^{ - 11} (40)(80)}{ 13.34 \times  {10}^{ - 11} }

 \implies  {d}^{2}  =  \dfrac{3200}{ 2 }

 \implies  {d}^{2}  = 1600

 \implies \: d =  \sqrt{1600}

 \implies \: d =  40 \: m

So, the separation distance is 40 metres.

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