How Can I Get Help with Physics and Calculus Problems?

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The discussion focuses on seeking help with physics and calculus problems, highlighting the importance of providing specific questions for effective assistance. A formula related to a charged sphere is mentioned, emphasizing the need for attention to units and basic geometry understanding. One participant offers to help by encouraging the sharing of specific problems and the steps already attempted. This collaborative approach aims to enhance understanding and problem-solving skills in these subjects. Overall, clear communication of issues is essential for receiving meaningful support.
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I saw only 4 problems in the document.The third one (with the charged sphere) is trivial.The formula reads (i'm a theorist,so i'll let u put in the numbers)
Q=\frac{\rho}{8}\frac{4\pi}{3}(r_{1}^3 -r_{2}^3).
Pay attention with the units(centimeters for radius,Coulomb/cubic meter for the volume charge density). I hope u see where that "8" is coming from.If u don't,try to learn basical geometry before any phyiscs.

Daniel.
 


Sure, I would be happy to assist with any physics or calculus problems you may have. Can you provide specific problems or topics you need help with so I can provide more targeted assistance? Also, please make sure to show your work and explain any steps you have attempted so far. This will help me better understand your thought process and provide more effective guidance. Looking forward to working with you!
 
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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