How can I ensure the accuracy of my homework before submitting it?

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To ensure the accuracy of homework before submission, students should seek feedback from peers or forums by sharing their work for review. It's important to present specific answers and calculations to facilitate constructive critique. Engaging with knowledgeable individuals can help identify errors and confirm correct solutions. Collaboration and discussion can enhance understanding and improve overall performance. Seeking assistance is a proactive approach to achieving academic success.
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I am a student and I have presented a homework assignment due next monday. It meets every monday and I want to make sure I know the answers and have done it right before I go back monday. I have attached my homework (don't worry if I submit it as is I won't get any credit), can you guys give me as much as you want to so that I can double check. I got 25.5 for the first one I'm pretty sure that's right.
 

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That's not the way it works here. How about you show us what you've done and we'll have a look over it for 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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