Calculating Final Velocity of Mass 1 in an Elastic Collision

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Homework Help Overview

The problem involves an elastic collision between two masses, m1 and m2, where m1 has a mass of 7 kg and an initial speed of 3 m/s, and m2 has a mass of 8 kg and an initial speed of 5 m/s at an angle of 33 degrees in the second quadrant. After the collision, m2 remains at rest at the origin, and the task is to find the final velocity of m1, including both magnitude and direction.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the setup of the collision and the initial conditions, including the directions of the velocities. There are attempts to apply momentum conservation principles, with some participants questioning the accuracy of their calculations and the interpretation of momentum components.

Discussion Status

The discussion is ongoing, with participants exploring various interpretations of the momentum vectors involved in the collision. Some have provided calculations for the momentum components, while others are seeking clarification on the proper approach to summing these components. There is no explicit consensus yet on the final velocity of m1.

Contextual Notes

Participants are grappling with the vector nature of momentum and the need to separate components along the x and y axes. There is also mention of potential confusion regarding the contributions of each mass to the overall momentum after the collision.

  • #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.
 
Last edited:
  • #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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