Respuesta :
Answer:
The relation between acceleration due to gravity for both cases [tex]g_{1} = 9g_{2}[/tex]
Explanation:
What is acceleration due to gravity ?
Any object's acceleration when it is only being affected by gravity.
According to the given information
Acceleration due to gravity could be found by [tex]\frac{GM}{r^{2} }[/tex]
Distance between satellite orbiting planet from center = r
Acceleration due to gravity for this case [tex]g_{1}[/tex] = [tex]\frac{GM}{r^{2} }[/tex]
Distance between satellite orbiting planet from center = 3r
Acceleration due to gravity for this case [tex]g_{2}[/tex] = [tex]\frac{GM}{(3r)^{2} }[/tex]
relation between the acceleration due gravity in each case
[tex]\frac{g_{1} }{g_{2} } =\frac{(3r)^{2} }{r^{2} } \\[/tex]
[tex]\frac{g_{1} }{g_{2} } =\frac{9r^{2} }{r^{2} } \\[/tex]
[tex]\frac{g_{1} }{g_{2} }[/tex] = 9
[tex]g_{1} = 9g_{2}[/tex]
The relation between acceleration due to gravity for both cases [tex]g_{1} = 9g_{2}[/tex]
To know more about acceleration due to gravity
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