What Is the Final Velocity After Two Balls Collide and Move Together?

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SUMMARY

The final velocity of two colliding balls, each with a mass of 50 kg, can be determined using the principle of conservation of momentum. Ball A moves to the right at 5 m/s, while Ball B moves to the left at 3 m/s. After the collision, the two balls move together, and their final velocity (Vf) is calculated to be 1 m/s to the right. This result is derived from the equation M1V1 + M2V2 = (M1 + M2)Vf, confirming that momentum is conserved during the collision.

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  • Understanding of conservation of momentum
  • Familiarity with basic physics equations for velocity and mass
  • Knowledge of vector direction in motion
  • Ability to manipulate algebraic equations
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Homework Statement


Two balls roll towards each other. Ball A moves to the right with velocity 5 m/s and ball B moves to the left with velocity 3m/s. If both balls have the same mass, m=50kg, determine the final velocity of them if they move off together after collision. In which direction will they move?

Homework Equations



F = M(Vf - Vi)/2 (is this correct?)
Vf = Vi + Acceleration * Time (is this correct?)
V = d/t

The Attempt at a Solution


M = 50kg
Vi of ball A = 5m/s
Vi of ball B = 3m/s
A = ?
T = ?

Ball A:
Vf = 5 + A * T

Using formula V = d/t
5 = d/t I stuck, don't know how to work this out. Any hints?
 
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You need to employ conservation of momentum.
 

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