What is the Final Velocity of the 18 kg Rock After Collision in Space?

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SUMMARY

The final velocity of the 18 kg rock after colliding with a 4 kg rock in space can be determined using the momentum principle. The initial momentum of the system is calculated using the velocities of both rocks before the collision. After applying the momentum conservation equation, the final velocity of the 18 kg rock is derived as < 250, -290, 260 > m/s, confirming that momentum is conserved in the collision.

PREREQUISITES
  • Understanding of the momentum principle in physics
  • Familiarity with vector representation of velocity
  • Knowledge of conservation laws in collisions
  • Basic algebra for solving equations
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  • Study the conservation of momentum in elastic and inelastic collisions
  • Learn about vector addition and subtraction in physics
  • Explore the implications of mass and velocity in collision outcomes
  • Investigate real-world applications of momentum conservation in space physics
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Students studying physics, particularly those focusing on mechanics and collision problems, as well as educators looking for examples of momentum conservation in action.

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Homework Statement



In outer space a rock with mass 4 kg, and velocity < 4000, -2800, 3400 > m/s, struck a rock with mass 18 kg and velocity < 250, -290, 260 > m/s. After the collision, the 4 kg rock's velocity is < 3600, -2300, 3900 > m/s.
What is the final velocity of the 18 kg rock?

Homework Equations



Momentum Principle

pf = pi + Fnetdeltat

The Attempt at a Solution



Please help me if you can! I am pretty frustrated with this problem and I don't know why I am getting it wrong! I used the momentum principle, but it hasnt worked since this is a collision problem. Should I use that the final speed for the 18kg rock is v2f = 2(m/M)v1i

v2 being the final velocity of 18kg
v1 being the initial velocity of 4kg
 
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Hi, Write the velocities in vector form. Like for 4 Kg rock, initial velocity will be

V_4=4000i-2800j+3400k

Then apply

P_i=P_f
 

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