Physics, asked by Anonymous, 2 months ago

Two masses 50 kg and 100 kg are separated by a distance of 10 m. What is the gravitational force of attraction between them? G = 6.67 * 10^-11 Nm^2/kg^2​

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Answered by aksharagupta0606
4

Answer:

hope this will help you

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Answered by Anonymous
96

{ \underline{ \pmb{ \frak{Understanding \: the \: question : }}}}

☀️Concept :Here it is said that, two masses of 50 kg and 100 kg are separated by a distance of 10 m. We have to find out that what is the gravitational force of attraction between them?

{ \underline{ \pmb{ \frak{Given \: values : }}}}

★Mass (m₁) of the body is 50kg

★Mass (m₂) of the other body is 100kg

★Distance (d) between the bodies is 10m

{ \sf{ \red{hint :G = 6.67 \times  {10}^{ - 11}   \:{ {Nm}^{2} } / \: { {kg}^{2} }  }}}

{ \underline{ \pmb{ \frak{To \: find : }}}}

★ The gravitational force acting between the 2 bodies of the given mass and distance

{ \underline{ \pmb{ \frak{ Using \: Concept: }}}}

★The formula to find gravitational force according to the question is  \implies \sf F = G \times  \dfrac{m_1 \times m_2}{ {d}^{2} }

~we have to substitute the given value of G and the others accordingly

{ \underline{ \pmb{ \frak{ Solution: }}}}

★The gravitational force acting between them is { \sf{ \red{335 \times  {10}^{ - 11} newton}}}

{ \underline{ \pmb{ \frak{ Full \: solution: }}}}

~ We know that :

 \implies \sf F = G \times  \dfrac{m_1 \times m_2}{ {d}^{2} }

~As We have got the value of G in the hint the the other values in the question let's substitute them

{ : \implies} \tt \: F = 6.7 \times  {10}^{ - 11}  \times \frac{100 \times 50}{ {10}^{2} }  \\  \\  \\ { : \implies} \tt F = 6.7 \times  {10}^{ - 11}  \times   \cancel\frac{5000}{100}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\ { : \implies} \tt F = 6.7 \times  {10}^{ - 11}  \times 50 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\ { : \implies} \tt F = 6.7 \times 50 \times   {10}^{ - 11} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:   \:   \:  \: \:\\  \\  \\ { : \implies}{  \underline{  \boxed{\tt{ F = 335 \times  {10}^{ - 11} N}} \bigstar}} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \:  \:\:   \:  \: \:

  • Hence the gravitational force acting between them is 335 × 10^-11N

{ \underline{ \pmb{ \frak{More \:  to \:  know : }}}}

Law of gravitation:

\setlength{\unitlength}{7mm} \begin{picture}(6,6)\thicklines\put(2,2){\circle{14}}\put(8,2){\circle{14}} \put(2,2){\circle*{0.15}} \put(8,2){\circle*{0.15}} \put(2,2){\line(1,0){6}} \put(4,2){\line( - 1,1){0.5}} \put(6,2){\line(1,1){0.5}} \put(4,2){\line( - 1, - 1){0.5}} \put(6,2){\line( 1, -1){0.5}} \put(4.5,0.7){\vector( - 1,0){2.7}} \put(5.4,0.7){\vector(1,0){2.8}}\put(4.75,0.6){$ \bf d $}\put( 3.3, - 1){ \framebox{$ \bf F = \displaystyle \dfrac{G Mm }{ d^2} $}}\end{picture}

Do you know?

★ Force - MA

★ Pressure = F/A

★S.I unit of gravity = Newtons Kg

★ Gravity on earth = 6 times more than that on moon


Anonymous: Awesome! :D
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