Newton's Third Law of Motion - Help

AI Thread Summary
To solve problems related to Newton's Third Law of Motion, it's essential to identify the specific information needed before analyzing the given data. The discussion emphasizes focusing on the forces exerted between objects, such as a ball and a cannon, to apply the law correctly. Participants suggest working backwards to determine the state of the cannon immediately after firing. There is also a concern about the deletion of original posts, which can hinder understanding of the conversation. Clarity in communication is vital for effective problem-solving in physics discussions.
yomo710
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Got it!
 
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Ignore all the information for a moment. Just think, what things do you need to know to find the answer?
Once you know what you're looking for, then you can try to use all the information in the problem to find whatever it is you need to know.
 
Nathanael said:
Ignore all the information for a moment. Just think, what things do you need to know to find the answer?
Once you know what you're looking for, then you can try to use all the information in the problem to find whatever it is you need to know.
I was thinking projectile motion but then I ignored that. I think I would need the force exerted by the ball on the canon and vice versa and then apply it. Is this correct?
 
yomo710 said:
I was thinking projectile motion but then I ignored that. I think I would need the force exerted by the ball on the canon and vice versa and then apply it.
Okay, try to find this from the given information.
 
yomo710 said:
I was thinking projectile motion but then I ignored that. I think I would need the force exerted by the ball on the canon and vice versa and then apply it. Is this correct?
I suggest working backwards. What would you like to know about the state of the canon just after the shot has been fired?
 
yomo710 said:
Got it!
Yomo710. Did you delete the original post? Please do not do that! Now nobody can make sense of the thread.
 
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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