Capital Punishment @ the Dark Ages Penitentiary.

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AI Thread Summary
The discussion centers on a homework question regarding the feasibility of using a bullet ten times the mass of the rifle at the Dark Ages Penitentiary. Participants agree that such a concept is impractical, as a bullet of that size would not fit in the gun. One contributor humorously suggests that while it is a ridiculous idea, modern technology could allow for heavier projectiles in lightweight firearms. Ultimately, the consensus is that the answer to the homework question is True, highlighting the absurdity of the scenario. The conversation reflects on the unusual nature of the assignment posed by the teacher.
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Homework Statement


In an effort to exact the most severe capital punishment upon a rather unpopular prisoner, the execution team at the Dark Ages Penitentiary search for a bullet which is ten times as massive as the rifle itself. Obviously this team did not know enough physics to know that it was a BAD idea.

True or False?

Homework Equations


Common Sense


The Attempt at a Solution


I'm assuming that it is True because the bulet would not fit in the gun.

Am I correct??
 
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It is conceivable, albeit ridiculous, that the "bullet" could be a long lead rod that weighed more than the gun. TODAY, on the other had, it would be much more feasible since you could use a long depleted-uranium bullet in a light-weight gun.

In any case, it's a silly concept.
 
phinds said:
It is conceivable, albeit ridiculous, that the "bullet" could be a long lead rod that weighed more than the gun. TODAY, on the other had, it would be much more feasible since you could use a long depleted-uranium bullet in a light-weight gun.

In any case, it's a silly concept.

I submitted the assignment, and the answer was True. I can see what you mean though. I wonder where the teacher comes up with questions like this. haha
 
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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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