What is the Ratio of Speeds After a Noncentral Elastic Collision?

In summary, the conversation discusses a collision between two spheres, one with a mass of 0.3 kg and the other with a mass of 0.35 kg. The collision is noncentral and elastic, with 79% of the first sphere's kinetic energy being transferred. The ratio between the speeds after the collision, v1 and v2, is being sought. Using the equation m1u1 + m2u2 = m1v1 + m2v2, and the fact that kinetic energy is equal to 0.5mv^2, the correct solution can be found.
  • #1
EPhoenix
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0

Homework Statement



First sphere m=0.3 kg collide noncentraly and elasticaly with other sphere of m= 0.35 kg and transfer 79% of first sphere kinetic energy during that collision... u1 is not defined, u2 = 0 m/s

Ratio between speed after collision v1 : v2 = ??


Homework Equations



m1u1 + m2u2 = m1v1 + m2v2


The Attempt at a Solution



Tryied to make Ek = Ek1 + Ek2

m1u1 = m1v1 + m2v2

m2v2 = 0.79 m1u1
v2 = 0.677 u1

m1v1 = 0.21 m1u1

v1= 0.21 u1

so ratio would be

v1 : v2 = 0.21u1 : 0.677u1

so in conclusion

v1 : v2 = 1 : 3.224



But I don't know if it's false or right...
 
Last edited:
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  • #2
hmmm , your solution doesn't seem logical enough to me .. for example why didnt you use the fact that k=0.mv^2 (or p^2/2m) ??notice what is the relationship between the kinetic energy and the velocity(or momentum) .. how would that change your calculations? .. please try again ..
 
  • #3
Yeah... I got right solution after applying it with kinetic formula...

Thx nevertheless :)
 

1. What is a noncentral elastic collision?

A noncentral elastic collision is a type of collision between two objects in which the total kinetic energy and momentum of the system are conserved. In this type of collision, the objects do not collide directly in the center, but rather at an angle.

2. How is a noncentral elastic collision different from a central elastic collision?

In a central elastic collision, the objects collide directly in the center. This results in a simpler calculation of the final velocities compared to a noncentral collision, where the final velocities depend on the angle of collision.

3. What factors affect the outcome of a noncentral elastic collision?

The outcome of a noncentral elastic collision is affected by the masses, velocities, and angle of collision between the objects. These factors determine the final velocities of the objects after the collision.

4. How can we calculate the final velocities in a noncentral elastic collision?

To calculate the final velocities in a noncentral elastic collision, we can use the conservation of momentum and kinetic energy equations. These equations take into account the initial velocities, masses, and angle of collision to determine the final velocities of the objects.

5. Are there any real-life examples of noncentral elastic collisions?

Yes, there are many real-life examples of noncentral elastic collisions. Some examples include billiard balls colliding at an angle, balls colliding on a pool table, and two cars colliding at an angle. These collisions follow the principles of conservation of momentum and kinetic energy, just like in theoretical calculations.

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