Find the final velocity of the two pucks after the collision

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SUMMARY

The final velocity of two hockey pucks after an inelastic collision can be determined using the principle of conservation of momentum. Puck 1 has an initial speed of 21 m/s, and puck 2 has an initial speed of 14 m/s. Since the masses of the pucks are not specified, it is assumed they are equal, allowing for the mass terms to cancel out in the momentum equation. The final velocity can be calculated using the formula: (m1*v1 + m2*v2) / (m1 + m2), leading to a definitive solution for their combined velocity post-collision.

PREREQUISITES
  • Understanding of conservation of momentum principles
  • Knowledge of inelastic collisions in physics
  • Familiarity with basic algebra for solving equations
  • Ability to interpret physics problems involving multiple objects
NEXT STEPS
  • Study the equations governing conservation of momentum in collisions
  • Learn about different types of collisions: elastic vs. inelastic
  • Explore examples of momentum problems involving multiple objects
  • Practice solving collision problems with varying mass scenarios
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Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators looking for practical examples of momentum conservation in action.

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Homework Statement


Two hockey pucks approach each other as shown in the figure below. Puck 1 has an initial speed of 21 m/s, and puck 2 has an initial speed of 14 m/s. They collide and stick together.


Homework Equations





The Attempt at a Solution

The pucks didn't have a mass so I couldn't use the components.
 
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Almost always in a collision problem like this, when the mass is not given that means the m terms will cancel out. Either the two pucks are of equal mass and the m's easily cancel or the mass is different, but is a multiple of the other mass. For example, one mass might be m and the other 3m, but the m's still cancel. I don't know whether or not the masses are the same, but if it is not specified, I would assume they are of equal mass.
 
You'll need to provide more information. This is an inelastic collision so the masses canceling out is unlikely except in only certain situations.
 

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