Millennium Theory of Inertia and Gravity

AI Thread Summary
The discussion centers on Newton's Universal Law of Gravitation and the challenges faced by a newcomer to mathematics in understanding how to apply the formula. The key point is that the only constant needed is G, the gravitational constant, while the other variables depend on the specific problem being addressed. Participants emphasize that it's normal to feel overwhelmed when starting out in physics and mathematics. Resources are suggested for further understanding of gravitational concepts. Engaging with the material gradually can lead to a better grasp of these fundamental principles.
lneilson
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M M
1 2
F=G -----------
2
r (1) Newton’s Universal Law of Gravitation


Hi everyone

I am very new to mathematics I don't know if I have a brain tumor or
what but I am completely enthralled in physics my problems whenever
I see a formula like the one above how do I find the actual numbers
that plug into this formula sorry I am so lame at this but it took 55 years
for this to happen

thanks

for any help

Lneilson
 
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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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