At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
By using a universal gravitational force, we can get that [tex] F_{g} = \frac{G. m_{1} . m_{2}}{ r^{2} } [/tex].
For note : r is a distance from center of the earth to the object.
Then, if [tex] r_{1} [/tex] is 6.400 km, and if [tex] r_{2} [/tex] is 12.800 km,
we can say that [tex] r_{2} [/tex] is [tex]2r_{1}[/tex]
In first equation we can say that :
[tex]F_{g} = \frac{G.m_{1} m_{2} }{ r_{1}^{2} } = 100.000 N[/tex]
then in second equation we can say that :
[tex]F_{g} = \frac{G.m_{1} m_{2} }{ r_{2}^{2} } [/tex],
[tex]F_{g} = \frac{G.m_{1} m_{2} }{ (2r_{1})^{2} }[/tex] (because [tex] r_{2} [/tex] is [tex]2r_{1}[/tex] )
[tex]F_{g} = \frac{G.m_{1} m_{2} }{ 4r_{1}^{2} }[/tex],
we can say that : [tex]F_{g} = \frac{1}{4} \frac{G.m_{1} m_{2} }{ r_{1}^{2} }[/tex]
so, by plugging first equation into second equation, we can get
[tex]F_{g} = \frac{1}{4} \frac{G.m_{1} m_{2} }{ r_{1}^{2} } = \frac{1}{4} . 100.000 N = 25.000 N[/tex]
For note : r is a distance from center of the earth to the object.
Then, if [tex] r_{1} [/tex] is 6.400 km, and if [tex] r_{2} [/tex] is 12.800 km,
we can say that [tex] r_{2} [/tex] is [tex]2r_{1}[/tex]
In first equation we can say that :
[tex]F_{g} = \frac{G.m_{1} m_{2} }{ r_{1}^{2} } = 100.000 N[/tex]
then in second equation we can say that :
[tex]F_{g} = \frac{G.m_{1} m_{2} }{ r_{2}^{2} } [/tex],
[tex]F_{g} = \frac{G.m_{1} m_{2} }{ (2r_{1})^{2} }[/tex] (because [tex] r_{2} [/tex] is [tex]2r_{1}[/tex] )
[tex]F_{g} = \frac{G.m_{1} m_{2} }{ 4r_{1}^{2} }[/tex],
we can say that : [tex]F_{g} = \frac{1}{4} \frac{G.m_{1} m_{2} }{ r_{1}^{2} }[/tex]
so, by plugging first equation into second equation, we can get
[tex]F_{g} = \frac{1}{4} \frac{G.m_{1} m_{2} }{ r_{1}^{2} } = \frac{1}{4} . 100.000 N = 25.000 N[/tex]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.