Kinetic energy problem during collision

In summary: Yes it is fulfilling the requirement. Thanks for taking intrust in it. See you around.You are welcome.
  • #1
133
0
Hi friends,
I have an issue in solving a Kinetic energy problem during collision.
Please Help me in solving this.
Thank you all in advance.

The problem is as:

https://fbcdn-sphotos-g-a.akamaihd.net/hphotos-ak-prn2/1375160_1432382953655477_313625437_n.jpg

Attempt:

https://fbcdn-sphotos-b-a.akamaihd.net/hphotos-ak-prn1/993716_1432381396988966_2038831136_n.jpg
https://fbcdn-sphotos-f-a.akamaihd.net/hphotos-ak-ash4/q87/s720x720/1380153_1432381516988954_1217795620_n.jpg

Friends according to question all the options, (A),(B),(C),(D) are correct. Please try to help me in this.
I will appreciate the help.
 
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  • #2
As you know, the total energy should be the same at all times. If the KE is going to vary during the collision, where else is energy being stored?
 
  • #3
haruspex said:
As you know, the total energy should be the same at all times. If the KE is going to vary during the collision, where else is energy being stored?

I think In the terms of heat or sound. But as the question perfectly states that the collision is elastic hence the total K.E. should remains same. And it is happening also before collision and after collision K.E. is 3 J. total.
 
  • #4
The problem is about the process of collision. The particles are like elastic balls. As the first one reaches the stationary particle, they start to interact and push each other. The balls deform and the deformation goes on till they move with respect to each other. At an instant, they move together with the same velocity, like in an inealastic collision, but the energy is not lost, it is stored as elastic energy, as in a compressed spring. During the second stage of the process, the elastic force between the compressed balls starts to accelerate them away from each other, till the balls completely separate. The PE is maximum when the balls move together with the same velocity.

ehild
 

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  • #5
ehild said:
The problem is about the process of collision. The particles are like elastic balls. As the first one reaches the stationary particle, they start to interact and push each other. The balls deform and the deformation goes on till they move with respect to each other. At an instant, they move together with the same velocity, like in an inealastic collision, but the energy is not lost, it is stored as elastic energy, as in a compressed spring. During the second stage of the process, the elastic force between the compressed balls starts to accelerate them away from each other, till the balls completely separate. The PE is maximum when the balls move together with the same velocity.

ehild

Well,l it is clear that, during collision some amount of K.E. will be stored as the elastic P.E. in both the balls.
But still how the minimum K.E. can be calculated in this process. It is not clear.
 
  • #6
The KE is minimum when the PE is maximum, and it is maximum at maximum compression. At that instant, the balls move together, like in an inelastic collision. What is that common velocity? ehild
 
  • #7
ehild said:
The KE is minimum when the PE is maximum, and it is maximum at maximum compression. At that instant, the balls move together, like in an inelastic collision. What is that common velocity?


ehild

for initial, K.E. = 1/2 mv2 = 3 J
v = √(6/m)

At the instant of collision,

Common velocity will me v/3
i.e. 1/3(√(6/m))
 
  • #8
And the kinetic energy of the system?

ehild
 
  • #9
ehild said:
And the kinetic energy of the system?

ehild

Yes it is fulfilling the requirement. Thanks for taking intrust in it. See you around.
 
  • #10
You are welcome.

ehild
 

1. What is kinetic energy?

Kinetic energy is the energy possessed by an object due to its motion. It can be calculated by the mass of the object multiplied by its velocity squared.

2. How does kinetic energy play a role during a collision?

In a collision, kinetic energy can be transferred between objects. The amount of kinetic energy before and after the collision will remain the same, but it may be distributed differently between the objects.

3. How is kinetic energy conserved during a collision?

According to the law of conservation of energy, energy cannot be created or destroyed, only transferred or transformed. Therefore, the total kinetic energy of a system remains constant during a collision.

4. What factors can affect the amount of kinetic energy during a collision?

The mass and velocity of the objects involved in the collision are the main factors that affect the amount of kinetic energy. The angle and type of collision can also play a role.

5. How can kinetic energy be calculated in a collision problem?

To calculate the kinetic energy during a collision, you will need to know the mass and velocity of each object involved. The total kinetic energy can be found by adding the individual kinetic energies of each object or by using the formula for calculating kinetic energy.

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