Collisions thought i was doing it right?

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Homework Help Overview

The discussion revolves around a collision problem involving two rocks in outer space, focusing on the conservation of momentum in an elastic collision scenario. The original poster presents initial conditions, including masses and velocities, and seeks to determine the final velocity of one of the rocks after the collision.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply the conservation of momentum but questions their understanding of the equation setup. Some participants clarify that in an elastic collision, the final velocities of the two masses will differ, prompting further inquiry into the correct method to find the unknown final velocity.

Discussion Status

The discussion is active, with participants providing insights into the nature of the collision and the conservation principles involved. There is a recognition of the need to correctly apply the momentum conservation equation, and some guidance has been offered regarding the constants in the system.

Contextual Notes

Participants are working under the assumption that the collision is elastic and that the system is closed, which influences their approach to solving for the unknown final velocity. There is an acknowledgment of the original poster's confusion regarding the application of the momentum conservation formula.

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In outer space a rock with mass 4 kg, and velocity < 3900, -3000, 3200 > m/s, struck a rock with mass 17 kg and velocity < 300, -260, 260 > m/s. After the collision, the 4 kg rock's velocity is < 3500, -2300, 3700 > m/s.
What is the final velocity of the 17 kg rock?

m1 = 4 kg
v1 = < 3900, -3000, 3200 > m/s

m2 = 17 kg
v2 = < 3500, -2300, 3700 > m/s



Attempt at a solution:

pf = pi1 + pi2

(m1 + m2)*vf = m1v1 + m2v2
...solve for v2

as i was typing this i realized one of my mistakes is that the left side isn't (m1 +m2) but I'm still not sure what this should be?

Thanks for the help!:-)
 
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It's an elastic collision so the two rocks will not necessarily be moving with the same velocity. You cannot assume that vf will be the velocity of both masses.
 
what method would i use to solve for v2f then?
 
Well if this is a closed system then the rocks masses will remain constant, so will the total momentum in the system, so we can see that m1vi1 + m2vi2 = m1vf1 + m2vf2

You have know m1, m2, vi1, vi2, vf1 you have one unknown...
 

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