Conservation of Momentum of a bomb shell

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The discussion revolves around a physics problem involving the conservation of momentum after a shell explodes into two fragments. One fragment moves vertically upward with speed v0, while the other fragment's velocity needs to be determined. The participants emphasize the importance of using a clear coordinate system to analyze the problem, as the initial velocity of the shell is purely horizontal and directed north. The consensus is that the momentum must be conserved in both the horizontal and vertical components, leading to the conclusion that the other fragment's velocity can be calculated using vector addition. Ultimately, the discussion highlights the need for clarity in defining directions and components when solving such problems.
  • #31
heycoa said:
p0=2m*v0
p1=m*v0
Don't forget they have directions associated with them.

Now, find p2 ?
 
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  • #32
so the direction of p0 is in the x-direction, and p1 is in the y-direction?
 
  • #33
heycoa said:
so the direction of p0 is in the x-direction, and p1 is in the y-direction?
Yes ...
 
  • #34
well p2=v2*m

and when i solve for v2 i get 2*v0(x hat) + v0(y hat)
 
  • #35
heycoa said:
well p2=v2*m

and when i solve for v2 i get 2*v0(x hat) + v0(y hat)

From that I get ##\ \vec{p_2}=2\,m\,v_0\hat{x}+m\,v_0\hat{y}\ . ##

Adding p1 and p2 should give p0, right?
 
  • #36
Then it should be minus the second term (-m*v0*yhat), right?
 
  • #37
heycoa said:
Then it should be minus the second term (-m*v0*yhat), right?
Yes, for p2.

What does this give you for the vector, v2, and its direction, and its magnitude, v2 ?
 
  • #38
for v2 i get 2*v0(x hat) + v0(y hat)

i calculated the magnitude to be v2=v0*sqrt(5)

does this appear to be correct?
 
  • #39
heycoa said:
for v2 i get 2*v0(x hat) + v0(y hat)

i calculated the magnitude to be v2=v0*sqrt(5)

does this appear to be correct?
Yes !
 
  • #40
Ok excellent!

So I apparently need to read these questions more carefully and define my coordinate systems.

I can't thank you enough for taking the time and having the patience to work with and follow up with me. Thank you very much
 
  • #41
heycoa said:
Ok excellent!

So I apparently need to read these questions more carefully and define my coordinate systems.

I can't thank you enough for taking the time and having the patience to work with and follow up with me. Thank you very much
You're welcome.

I hope I wasn't being too difficult at times.
 
  • #42
no you're great! :)
 

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