Respuesta :
The gravitational force equation is Fg=(G*M*m)/r² where, G is the gravitational constant, G=6.67*10^-11 m³/kg*s², M is the mass of Saturn, M=5.86*10^26, m is the mass of Titan, m=1.35*10^23 and r is the distance, r=1.19*10^6 km=1.19*10^9 m. Now we simply input the numbers into the equation:
Fg=(6.67*10^-11)*(5.86*10^26)*(1.35*10^23)/(1.19*10^6)²
Fg=(5.277*10^39)/(1.41*10^18)=3.743*10^21 N
The correct answer is the third one.
Fg=(6.67*10^-11)*(5.86*10^26)*(1.35*10^23)/(1.19*10^6)²
Fg=(5.277*10^39)/(1.41*10^18)=3.743*10^21 N
The correct answer is the third one.
The gravitational force between Saturn and its moon Titan is [tex]3.743\times 10^{21} \rm \ N[/tex].
How to calculate gravitational force?
The gravitational force is directly proportional to the product of masses and inversely proportional to the distance between them.
[tex]F_g=G\dfrac {Mm}{r^2}[/tex]
Where,
[tex]F_g[/tex] - gravitational force
[tex]G[/tex] - Universal Gravitational Constant = [tex]\bold {6.67 \times 10^{-11} N.m^2/kg^2}[/tex]
[tex]M[/tex] - mass of Saturn = [tex]5.86\times10^{26} {\rm \ kg}[/tex]
[tex]m[/tex] - mass of Titan =[tex]1.35\times10^{23} {\rm \ kg}[/tex]
[tex]r[/tex] - distance, r = [tex]1.19\times10^{6} {\rm \ km}[/tex] = [tex]1.19\times 10^9 {\rm \ m}[/tex]
Put the values in the formula,
[tex]F_g=\bold {6.67 \times 10^{-11} N.m^2/kg^2} \dfrac {5.86\times10^{26} {\rm \ kg}\times 1.35\times10^{23} {\rm \ kg}}{(1.19\times 10^9 {\rm \ m})^2}\\\\F_g= 3.743\times 10^{21} \rm \ N[/tex]
Therefore, the gravitational force between Saturn and its moon Titan is [tex]3.743\times 10^{21} \rm \ N[/tex].
Learn more about gravitational force:
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