Physics For Scientists And Engineers 6E By Serway And Jewett problem solution

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A user seeks the solution to problem 70 from chapter 8 of "Physics For Scientists And Engineers 6E" by Serway and Jewett, expressing a desire to verify their own solution. They mention that their book only provides solutions for odd-numbered problems. Other participants encourage sharing the user's approach for feedback rather than requesting direct answers. The discussion emphasizes the importance of understanding the method rather than simply obtaining the solution. Overall, the focus is on collaborative problem-solving and adherence to forum guidelines.
PPonte
Would someone, please, give me the solution to the problem 70 of chapter 8 of the book: Physics For Scientists And Engineers 6E By Serway And Jewett.
I solved the exercise, just wish to be sure I did it correct.

My book has only solutions to odd-numbered problems.

If this post violates the policy of PF, I am sorry, that was not my intention.
 
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If you show us what you did we can comment on it.
 
I have the solution, but I don't think I'm allowed to post it.

Just give me the answer you got and I'll tell you if you're right.
 
Post the question, and we'll help you with the method. We absolutely do not post solutions to questions outright.

- Warren
 
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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