What is Elastic collision: Definition and 531 Discussions

An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same. In an ideal, perfectly elastic collision, there is no net conversion of kinetic energy into other forms such as heat, noise, or potential energy.
During the collision of small objects, kinetic energy is first converted to potential energy associated with a repulsive or attractive force between the particles (when the particles move against this force, i.e. the angle between the force and the relative velocity is obtuse), then this potential energy is converted back to kinetic energy (when the particles move with this force, i.e. the angle between the force and the relative velocity is acute).
Collisions of atoms are elastic, for example Rutherford backscattering.
A useful special case of elastic collision is when the two bodies have equal mass, in which case they will simply exchange their momenta.
The molecules—as distinct from atoms—of a gas or liquid rarely experience perfectly elastic collisions because kinetic energy is exchanged between the molecules’ translational motion and their internal degrees of freedom with each collision. At any instant, half the collisions are, to a varying extent, inelastic collisions (the pair possesses less kinetic energy in their translational motions after the collision than before), and half could be described as “super-elastic” (possessing more kinetic energy after the collision than before). Averaged across the entire sample, molecular collisions can be regarded as essentially elastic as long as Planck's law forbids black-body photons to carry away energy from the system.
In the case of macroscopic bodies, perfectly elastic collisions are an ideal never fully realized, but approximated by the interactions of objects such as billiard balls.
When considering energies, possible rotational energy before and/or after a collision may also play a role.

View More On Wikipedia.org
  1. S

    Elastic Collision: Isolated Systems & Conservative Forces

    In an elastic collision both momentum and kinetic energy are conserved which means only conservative forces are acting (therefore no friction!). So that must mean we also have to be in an isolated system, so no energy is lost due to external forces. Can this state actually exist in reality...
  2. A

    Elastic collision - finding ratio between m2 and m1, v2 and v1

    A ball of mass m and a ball of unknown mass M approach each other from opposite directions and have the same speed Vo (but oppositely directed velocities). The ball of M is reduced to rest by the impact, while the ball of mass m has a velocity V1'. What are the ratios a) M / m b) V1' / Vo...
  3. P

    How High Does Block M1 Rise After an Elastic Collision on a Frictionless Track?

    (3) two blocks are free to slide along the frictionless wooden track. a block of mass m1=5.00kg is released from A. Protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end of the block of mass m2=10.0kg...
  4. T

    How Does Adding Mass Affect Velocity in a Frictionless System?

    Once again, I am pleading for help. Here is the problem and what I have done: Gayle runs at a speed of 4.00 m/s and dives on a sled, initially at rest, on the top of a frictionless, snow-covered hill. After she has descended a vertical distance of 5.00m, her brother, who is initially at rest...
  5. D

    Elastic Collision of Point Mass and Dumbell: Analyzing Kinetic Energy

    Say we have a point mass M traveling to the right at velocity V. It strikes a dumbell composed of two masses of M/2 separated by a massless rod of length L. The collision is elastic. I am having some trouble thinking about this... After the collision, the original mass is stationary...
  6. R

    Relativistic Elastic Collision

    I've done the bulk of this problem (part A) but I still can't figure the last bit (part B): "Consider an elastic head-on collision between a projectile with mass m_a, velocity (vector)v_a, energy E_a, and three-momentum (vector)p_a and a stationary target of mass m_b. (That the collision is...
  7. V

    2D Elastic Collision equations

    Does anyone know the equations for 2D elastic collisions.
  8. T

    Finding Force from Linear & Angular Momentum in Elastic Collision

    Let's say I have a stationary object that gets hit on a flat edge by a sharp point of a moving object. Assume that the moving object also has an linear and angular momentum. Assume that the objects have uniform density, there is no deformation, no friction, and that the collision is ellastic...
  9. S

    2 balls involved in 1-D Elastic Collision

    A ball of mass 0.200 kg has a velocity of 1.50i m/s; a ball of mass 0.300 kg has a velocity of -0.400i m/s (where "i" is supposed to be that unit vector along x-axis). They meet in a head-on elastic collision. (a) Find their velocities after the collision. I know I can use the conservation of...
  10. B

    Calculate Your Speed after Elastic Collision on Ice in Buffalo

    You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there is negligible friction between your feet and the ice. A friend throws you a ball of mass 0.400 kg that is traveling horizontally at 10.8 m/s. Your mass is 70.4 kg. this is my first answer If you...
  11. tony873004

    How can I solve for the mass of the first car in an elastic collision problem?

    In an elastic collision problem, I'm supposed to solve for the mass of the 1st car (m1). I get stuck here. How do I re-write this to solve for m1? u_2=\frac{2*m_1v_1}{m_1+m_2}
  12. N

    Is this an elastic or inelastic collision?

    Im preparing for an Elastic Collision lab today and was wondering is someone would check my prelab questions. A 5 kg object traveling at 4 m/s collides head on with a 10 kg object moving toward it with a speed of 3 m/s. The 10 kg object stops dead after the collision. a) What is the...
  13. L

    What Is the Mass Ratio of Neutron to Proton in an Elastic Collision?

    Agh... so I posted a similar question like this yesterday and someone has been so kind enough to help me out, but now I'm stuck on this problem! In the experimental discovery of the neutron (the electrically neutral "brother" of the proton ) the ratio of the velocity of the recoiling (struck)...
  14. L

    What is the Velocity Ratio in an Elastic Collision?

    Okay, so my homework question is: 5) An object makes an elastic head-on collision with another "target" object which is initially at rest. If the ratio of incident mass over target mass is 0.5333, what is the velocity of the incident object after the collision in multiples of its incident...
  15. S

    Elastic Collision: Find Speed of Protons After Collision

    A proton, moving with a velocity of v1i collides elastically with another proton that is initially at rest. One proton has three times the speed of the other after the collision. How would I find the speed of each proton after the collision in terms of vi and their velocity vectors after the...
  16. F

    Elastic Collision and conservation of momentum

    In an elastic collision between two objects. Show that the speed of approach is equal to the speed of seperation. I know you have two equations, the conservation of momentum and the conservation of kinetic energy, but I wouldn't know how to solve the equations.
  17. M

    Elastic Collision of two pucks

    Here is the problem as it reads out of the book. In the figure, puck 1 of mass .2 kg is sent sliding across the table [frictionless] to undergo a one-dimentional elastic collision with stationary puck 2. Puck 2 then slides off the edge and lands a distance d from the base of the table. Puck...
  18. O

    Two dimensional elastic collision - unequal masses

    Hi, I need to find an expression for u1 and u2 using m1, m2, v1 and alpha. See attached image for more details. Thanks in advance, Or Ozery
  19. P

    Elastic Collision: Momentum or Energy?

    Is elastic collision defined as a collision where no energy is lost or where no momentum is lost? We had to do a lab in class and one question was whether the collison was elastic. I think we all got it wrong because we sayed it was elastic because momentum was conserved. But we were supposed to...
  20. T

    How Is the Average Force Calculated in an Elastic Collision with a Wall?

    I'm stumped on this question: A ball of mass m moving with velocity v_i strikes a vertical wall. The angle between the ball's initial velocity vector and the wall is theta_i as shown on the diagram. The duration of the collision between the ball and the wall is delta t, and this collision is...
  21. A

    Elastic Collision of Rod and Cube: Dynamics Unveiled

    Consider a cube of uniform density, mass M, sidelengths 2a resting on a frictionless plane. Origin is placed in the cube's center. A rod of length L, attached to the ceiling z=a+L, mass m, hits with its tip the corner (-a,a,a) on the side x=-a with velocity V_{0}\vec{i}. Determine the...
  22. D

    Elastic Collision and Simultaneous Equations

    Hello I need help with elastic collisions. I know you have to solve simultaneous equations, but for the problem I'm on, the equation has a power other than one like X2 etc. How do I do this on A TI-83 +? Thank you. Doug
  23. S

    Elastic Collision on an Incline

    A block of mass m = 2.20 kg slides down a 30 degree incline which is 3.6 m high. At the bottom it strikes a block of mass M = 7 kg which is at rest on the horizontal surface. If the collision is elastic and friction can be ignored, determine the: speeds of the two blocks and how far...
  24. P

    Solving for two unknowns in a 2-D elastic collision. HELP

    Hey everyone. I am really stuck on a problem that seems simple but I just can't figure it out. The problem goes as follows. There is a collision between two pucks on an air-hockey table. Puck A has a mass of 0.039 kg and is moving along the x-axis with a velocity of +5.5 m/s. It makes a...
  25. J

    Elastic Collision: Who Experiences Larger Accel?

    A cart of mass M and a second cart of mass 2M collide head on elastically and bounce apart. Which cart experiences a larger magnitude of acceleration during the collision?
  26. A

    Elastic Collision - Scattering

    Elastic Collision -- Scattering Before I ask my question, here's the problem in full, "A proton of mass mp, with initial velocity v0 collides with a helium atom, mass 4mp, that is initially at rest. If the proton leaves the point of impact at an angle of 45 degrees with its original line of...
  27. L

    Solving for Velocity and Mass in an Elastic Collision

    A softball of mass 0.220 kg that is moving with a speed of 6.7 m/s collides head-on and elastically with another ball initially at rest. Afterward it is found that the incoming ball has bounced backward with a speed of 4.2 m/s. (Assume the positive direction is forward.) (a) Calculate the...
  28. S

    Work and Kinetic Energy and elastic collision

    hey all... have a question: a body of 2 kg mass makes an elastic collision with another body at rest and afterwards continues to move in the original direction but with one-fourth of it's original speed. What is the mass of the struck body? I started with comparing kinetic energy, then...
  29. L

    Calculating Linear Momentum in Elastic Collision of Two Balls

    Two balls hit each other. One ball with a mass of 2m standing still relative to the earth. The other ball has a mass of 1m and hits the ball of 2m at a certain speed. The collision is elastic. Could you calculate the proportion of Linear Momentum between both balls after the collision with...
  30. J

    How Do Elastic, Inelastic, and Explosion Collisions Differ?

    What is an elastic collion? I don't understand the difference between elastic, inelastic and explosion collisions.
  31. C

    Elastic Collision is kinetic energy conserved?

    Here is a little problem i am having with elastic colisions. With inelastic colisions, momentum is conserved but kinetic energy is not. And so from my point of view it would be impossible to have an elastic colision where both momentum and kinetic energy would be conserved as if kinetic...
Back
Top