How Long Does It Take Earth to Orbit the Sun?

AI Thread Summary
The discussion focuses on calculating the Earth's orbital period around the Sun using Kepler's laws, specifically the third law. Users are encouraged to verify the given values for the distance to the Sun and its mass, as well as to consult their textbooks or online resources for guidance. The expected orbital period is approximately 365.25 days, and any discrepancies in calculations should be addressed by checking the application of Kepler's laws. Participants are reminded to seek help in the homework section for more structured assistance. Understanding these principles is essential for accurately determining the Earth's orbital period.
maddad
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Please help...
Given that the distance to the sun from the Earth is 1.5*10^11 m and the the mass of the sun is 1.9*10^30 kg.
Using Keplers law find the period of the Earth's orbit recorded in seconds; show how to express your anwser in years; and if your anwser does not agree with the accepted Earth's orbital period of 365.25 days, explain the discrepancy.
I am totally lost using Keplers law, I need your help ... Thanks!
 
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You should post this in the homework help section.

Look up Kepler's laws. There are 3 of them. One deals with this exact problem. Look up Newton's modified form of Kepler's law. Look up the values that they gave you in the problem and confirm if they're the correct values.
 
Moving to HW
 
Dear Sir, this is my first time in a forum, and I don't know how to retrieve the posted information. Can you please explain how do I get the anwser to my problem> Thanks!
 
You retrieve it by using your textbook. Look in the index for "Kepler's Laws", specifically his 3rd law. Or you can Google "Kepler's Laws" and "Newton's modified form of Kepler's Law".
 
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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