Calculating Final Velocity of Mass 1 in an Elastic Collision

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SUMMARY

The discussion focuses on calculating the final velocity of mass m1 (7 kg) after an elastic collision with mass m2 (8 kg) at rest. The initial speeds are 3 m/s for m1 and 5 m/s for m2, which is at a 33-degree angle in the second quadrant. The correct final velocity of m1 is determined to be 3.59 m/s. Key equations used include momentum conservation and the elastic collision formulas, specifically vf=(2m/m1+m2)vx and vf=(m1-m2/m1+m2)vy.

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  • #31
ScienceGeek24 said:
p=mv

So you have p, and you have m...
 
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  • #32
hmmm still not 3.59m/s i divided the momentum of px/m=v and it gave me 1.79m/s ...
 
  • #33
ScienceGeek24 said:
But this is an ellastic collision wouldn't it be vf=(2m/m1+m2)vx and vf=(m1-m2/m1+m2)vy ??

What would vx and vy be in that formula? Both objects are initially moving. That formula might apply if one object was moving and the other stationary.

Conservation of momentum always works.
 
  • #34
ScienceGeek24 said:
hmmm still not 3.59m/s i divided the momentum of px/m=v and it gave me 1.79m/s ...

The velocity, like momentum, has components. Divide both of the momentum components by m1 to give the components of the velocity. Then, to find the speed, find the magnitude of that vector.
 
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  • #35
Got it! Thanks man thankyou for your patience.
 
  • #36
ScienceGeek24 said:
Got it! Thanks man thankyou for your patience.

No problem. Glad to help. Good luck!
 
  • #37
Wait! on emore thing! I'm trying to find the kinetic energy lost i this one and this is what i did KEf= 1/2(8kg+7kg)(3.52)^2=95.052 j and Ke total= 1/2(8kg)(5m/s)^2+1/2(7kg)(3m/s)^2=131.5 J than i subtracted Ktotal -KEf= 44... something something and that is not he right answer the right asnwer is 86.4J . What did i do wrong??
 
  • #38
sciencegeek24 said:
wait! On emore thing! I'm trying to find the kinetic energy lost i this one and this is what i did kef= 1/2(8kg+7kg)(3.52)^2=95.052 j and ke total= 1/2(8kg)(5m/s)^2+1/2(7kg)(3m/s)^2=131.5 j than i subtracted ktotal -kef= 44... Something something and that is not he right answer the right asnwer is 86.4j . What did i do wrong??

Only mass m1 is moving after the collision. Don't sum the masses, they are not stuck together.

KE1 = 131.5 j
KE2 = 45.1 j

KE1 - KE2 = 131 - 45.1 = 86.4 j
 
  • #39
which mas did you get the 45.1 with? because i did 1/2(7kg)(3.56)^2=44.35 not 45.1.

Sorry to take all your time man... :P
 
  • #40
opps never mind got it! Thanks gain man!
 

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