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

In summary, two balls with equal masses, one moving to the right at 5 m/s and the other moving to the left at 3 m/s, collide and move off together after the collision. To determine their final velocity, conservation of momentum must be used.
  • #1
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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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  • #2
You need to employ conservation of momentum.
 

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

What is final velocity after collision?

Final velocity after collision refers to the velocity of an object or system after it has undergone a collision with another object or system. It takes into account both the initial velocities of the objects and the forces that act on them during the collision.

How is final velocity after collision calculated?

The final velocity after collision can be calculated using the principles of conservation of momentum and conservation of energy. The equations used depend on the type of collision (elastic or inelastic) and the masses and velocities of the objects involved.

What is the difference between elastic and inelastic collisions?

In an elastic collision, both kinetic energy and momentum are conserved, meaning that the total energy and momentum of the system before and after the collision are the same. In an inelastic collision, only momentum is conserved, and some energy is lost in the form of heat or sound.

What factors affect the final velocity after collision?

The final velocity after collision is affected by the masses and initial velocities of the objects involved, the type of collision (elastic or inelastic), and the forces acting on the objects during the collision. Other factors such as friction and air resistance may also play a role.

Why is final velocity after collision important in physics?

Final velocity after collision is important in physics because it allows us to understand and predict the motion of objects and systems after they have undergone a collision. It is also a fundamental concept in the study of momentum and energy conservation, which are essential principles in physics.

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