Calculating Force of Attraction and Tidal Force Between Jupiter and the Sun

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The discussion focuses on calculating the gravitational force of attraction between Jupiter and the Sun using Newton's law of universal gravitation. It also seeks to determine the tidal force exerted by Jupiter on Earth. Additionally, the participants inquire about the closest and furthest distances from Jupiter to the Sun. Relevant equations and data are provided through links to Wikipedia. Understanding these calculations is essential for grasping the dynamics of celestial bodies in our solar system.
painfulphysic
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I need the equation for force of attraction between Jupiter and the sun, the largest and the smallest. I need to find the tidal force between Earth and jupiter. And what is the closest and furthest distance to the sun from jupiter.
 
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Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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