Help with Final Velocity Collision Problem

In summary, help with final velocity collision problems involves understanding the principles of conservation of momentum and energy, as well as applying the equations of motion to calculate the final velocity of objects after a collision. It also requires knowledge of the different types of collisions, such as elastic and inelastic collisions, and how to account for external forces acting on the objects. Practice with sample problems and understanding the concepts behind them can greatly aid in solving final velocity collision problems.
  • #1
Lori

Homework Statement



upload_2017-12-16_17-0-34.png

Homework Equations


change in momentum = m1v1 = m1v1+m2v2
center of mass = m1x + m2x / (total mass)

The Attempt at a Solution


m1v1= m2v2 + m3v3
m1 = 2
v1 = 4
m2 = m1 divided by 2
m3 = m3 divided by 2[/B]

2*4 = 1*12 + 1v3
v3 = -4
v3= -4? in the x directioncenter of mass velocity would be (treating velocities as x?)

v of center mass = (-4*1 + 12*1)/2 = 4 , in the +x-direction
 

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  • #2
Lori said:
v3= -4? in the x direction
Yes (answer (f)).
 

Related to Help with Final Velocity Collision Problem

1. What is the formula for calculating final velocity in a collision problem?

The formula for calculating final velocity in a collision problem is Vf = (m1v1 + m2v2) / (m1 + m2), where Vf is the final velocity, m1 and m2 are the masses of the two objects, and v1 and v2 are the velocities of the two objects before the collision.

2. How do I determine the direction of the final velocity in a collision problem?

The direction of the final velocity can be determined by considering the direction of the initial velocities of the two objects. If the two objects are moving in the same direction, the final velocity will have the same direction. If the two objects are moving in opposite directions, the final velocity will have the direction of the larger initial velocity.

3. Can the final velocity in a collision problem be greater than the initial velocities?

Yes, in an elastic collision, the final velocity can be greater than the initial velocities. This occurs when the two objects have different masses and the lighter object bounces off the heavier object with a greater velocity.

4. What is the difference between elastic and inelastic collisions?

In an elastic collision, the total kinetic energy of the system is conserved, meaning that the total energy before the collision is equal to the total energy after the collision. In an inelastic collision, some of the kinetic energy is lost and converted into other forms of energy, such as heat or sound.

5. How do I account for friction in a collision problem?

To account for friction in a collision problem, you can use the coefficient of restitution (e) in the final velocity formula. The coefficient of restitution accounts for the loss of kinetic energy due to friction and is typically a value between 0 and 1, where 1 represents a perfectly elastic collision and 0 represents a completely inelastic collision.

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