Answer:
Force on planet Q =[tex]\dfrac{1}{25} F_e[/tex]
Explanation:
given,
Planet Q is identical to planet Earth.
Distance of the planet Q is 5 AU
distance between earth and sun = 1 AU
to calculate the gravitational force on the Q by the sun in comparison with the gravity on earth.
we know the equation of gravitation force between two bodies
[tex]F = G\dfrac{mM}{r^2}[/tex]
as planet Q is identical so mass will be same.
so from the above equation we can clearly see that the force is inversely proportional to square of distance.
force on earth (F e)= [tex]F = G\dfrac{mM}{1^2}[/tex]
force on planet Q = [tex]F = G\dfrac{mM}{5^2}[/tex]
on comparison
Force on planet Q =[tex]\dfrac{1}{25} F_e[/tex]
