Conservation of energy and momentum homework

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SUMMARY

The discussion focuses on solving an elastic collision problem involving a 2.0 kg ball at rest and a 5.0 kg ball moving at 10.0 m/s. The correct approach involves applying the principles of conservation of momentum and conservation of energy to derive the final velocities of both balls after the collision. The initial momentum and kinetic energy must be calculated and set equal to their respective final values, leading to a system of equations that can be solved for the unknown speeds of both balls.

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  • Understanding of elastic collisions
  • Knowledge of conservation of momentum
  • Familiarity with conservation of energy principles
  • Basic algebra for solving equations
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  • Study the equations for conservation of momentum in elastic collisions
  • Learn how to derive and apply the conservation of energy equation in collision problems
  • Practice solving multiple elastic collision problems with varying masses and initial velocities
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tica86
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A 2.0 kg ball at rest is struck head-on by a 5.0 kg ball moving along a track at 10.0 m/s in an elastic collision. What is the speed of the 5.0 kg ball and the 2.0 kg ball after the elastic collision?

----I'm sure this is a pretty simple question but I don't where to start.
Is the following equation correct?

v1= 2m1/m1+m2 ?

please help
 
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tica86 said:
v1= 2m1/m1+m2 ?

What are the units of speed? Does the RHS of this equation have those units?

You will need to use conservation of energy and momentum to solve this. Compute the momentum and energy of the system before and after the collision, using symbols to represent the unknown velocities. You will have 2 equations to solve for the 2 unknown speeds.
 

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