Need help vector dynamics problems

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To receive assistance with vector dynamics problems, it's essential to post specific questions in the Homework Help forums. Users are encouraged to show their attempted work and indicate where they are struggling for more effective support. The community is willing to help, but they will not complete the problems for anyone. The thread has been moved to the appropriate Homework Help section for better visibility. Engaging with the community in this manner will yield more productive help.
glarredondo
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need help on all probles
 
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That's not how we do things here, sorry.

Post specific problems in the Homework Help forums. Show what work you've done and where you've got stuck and people will be more than willing to help out.
 
Post what you've tried glarredondo, and we'll be more than happy to help you work the problems out.

You won't find anyone who will _do_ the problems for you though.

I'm moving this thread to homework help.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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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