1-D Perfectly Elastic Collison PLEASE CHECK THANKS

• proxy98
In summary, the problem involves a 1-D perfectly elastic collision between a moving mass and a stationary ball. The resulting velocities and masses are calculated using the equations for conservation of momentum and kinetic energy. The final results are confirmed to be correct through multiple checks.

proxy98

1-D Perfectly Elastic Collison PLEASE CHECK! THANKS

Homework Statement

Mass m1 is moving to the right at a velocity of 17.6m/s. Suddenly it strikes a stationary ball. The stationary ball has a mass of .685kg. The collision is perfectly elastic and 1 dimensional. The collision forces m2 to move to the right at 11.1m/s (v2prime).

Total momentum = 5.5 kg m/s ??
m1 = .3155kg ??
v1prime= -6.5m/s ??

Homework Equations

momentum before = momentum after
m1v1 = m1v1prime + m2v2prime

v2prime = (2m1)/(m1+m2) (v1) + (m2-m1)/(m1+m2) (v2)

v1prime = (m1-m2)/(m1+m2) (v1) + (2m2)/(m1+m2) (v2)

The Attempt at a Solution

11.1 = (2*m1)/(m1+.685) ( 17.6) + 0 (cancels cause m2 is stationary
11.1(m1+.685) = 35.2m
11.1m1 + 7.6035 = 35.2m
24.1m = 7.6035
m1= .3155 kg

v1prime = (.316-.685)/(.316+.685)(17.6) + 0 (v2 = 0)
v1prime = -6.50 m/s Left.

momentum before = momentum after
(17.6)(.316) = (.316)(-6.5) + (.685)(11.1)
5.55 kgm/s

Thanks for taking your time to help ! I just want to make sure this is right.

yeah, it's right. to check just see if the momentum is the same before & after and check if the kinetic energy is the same before & after. they are, so you did it right.

sorry to ask this, but are you 100% sure? Maybe I can get some more people to assure this answer is correct, as there are multiple other ways of doing the same problem.

proxy98 said:
sorry to ask this, but are you 100% sure? Maybe I can get some more people to assure this answer is correct, as there are multiple other ways of doing the same problem.

Yes. there is only one solution to the problem, so if you plug it into find the correct results, it must be right.

1. What is a 1-D perfectly elastic collision?

A 1-D perfectly elastic collision is a type of collision in which the total kinetic energy of the colliding objects is conserved. This means that there is no loss of energy during the collision and the objects will bounce off each other without any deformation.

2. What are the conditions for a collision to be perfectly elastic?

In order for a collision to be perfectly elastic, the objects involved must have no internal forces acting on them, such as friction or deformation. Additionally, the objects must be able to rebound from each other without sticking together.

3. How is momentum conserved in a 1-D perfectly elastic collision?

In a 1-D perfectly elastic collision, the total momentum of the colliding objects before and after the collision remains the same. This is because the objects bounce off each other without any loss of energy, so the total momentum is conserved.

4. What is the difference between a perfectly elastic collision and an inelastic collision?

A perfectly elastic collision is one in which the total kinetic energy is conserved, while an inelastic collision is one in which some of the kinetic energy is lost due to deformation or other internal forces. In an inelastic collision, the objects involved may stick together after the collision.

5. Are perfectly elastic collisions possible in the real world?

In theory, perfectly elastic collisions are possible in the real world, but in reality, there is always some loss of energy due to factors such as friction and deformation. However, for certain types of collisions, such as those between subatomic particles, the loss of energy is so small that it can be considered a perfectly elastic collision.