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

AI Thread Summary
To find the final velocity after the collision of two balls moving towards each other, the conservation of momentum principle must be applied. Given that both balls have equal mass (50 kg), the initial momentum can be calculated by adding the momenta of both balls: (50 kg * 5 m/s) + (50 kg * -3 m/s). The total initial momentum is 100 kg·m/s to the right, and the final momentum must equal this value. After the collision, the two balls move together, and the final velocity can be determined by dividing the total momentum by the combined mass of the two balls, resulting in a final velocity of 2 m/s to the right.
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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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