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.

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  1. C

    Elastic Collision of two blocks

    Homework Statement Block A of mass, mA = 2.0 kg, is moving on a frictionless surface with a velocity of 5.0 m/s to the right and another block B of mass, mB = 8.0 kg, is moving with a velocity of 3.0 m/s to the left, as shown in the diagram below. The two block eventually collide. a. If...
  2. M

    AP Problem - Elastic Collision at an Angle

    Homework Statement SEE BELOW: 4th Reply has a Diagram Homework Equations Conservation of Momentum: m1(v1i) +m2(v2i) = m1(v1f) + m2(v2f) Vf^2=Vi^2 + 2a(delta y) Conservation of Kinetic Energy (Elastic Collision): .5m1(v1i^2)+.5m2(v2i) = .5m1(v1f^2)+.5m2(v2f^2) The Attempt at a Solution See...
  3. L

    What Are the Outcomes of a Tennis Ball and Basketball Elastic Collision?

    Homework Statement A tennis ball of mass 57 g is held just above a basketball of mass 590 g. With their centres verticaly aligned, both are released from rest at the same moment, to fall through a distance of 1.2 m. a) Find the magnitude of the downward velocity w/ which the basketball...
  4. L

    Elastic collision in two dimensions

    Homework Statement On a frictionless surface, a 0.35 kg puck moves horizontally to the right (at an angle of 0°) and a speed of 2.3 m/s. It collides with a 0.23 kg puck that is stationary. After the collision, the puck that was initially moving has a speed of 2.0 m/s and is moving at an angle...
  5. D

    What Happens to Momentum in a Perfectly Elastic Wall Collision?

    [SOLVED] Perfectly Elastic Collision 1. A particle of mass m and speed V collides at a right angle with a very massive wall in a perfectly elastic collision. What is the magnitude of the change in momentum of the particle? 2. P before colision = P after collision. 3. I think the...
  6. J

    Why Is Total Kinetic Energy Conserved in Some Collisions but Not in Others?

    For this question http://tinyurl.com/2btmot the solution for question 6(c) is assume conservation of energy(total kinetic energy before collision = total kinetic energy after collision) I am very confused here. May I know why sometimes when two body collides, the total kinetic energy...
  7. A

    Elastic Collision: Find V1', V2' with M1, M2, V1, V2

    1. Two objects collide M1 = 1kg M2 = 3kg V1 = 2m/s V2 = -4 m/s V1' = ? V2' =? 2. PEi = PEf m1v1 + m2v2 = m1V1' + m2v2' KEi=KEf same as (1/2)(PE^2)/m 3. PEi = PEf ----> 2 - 12 = -10 ---> v2' = (-10 - v1')/3 KEi = KEf ----> 4 + 48 = 52 ----> 156 3Vi^2' + V1^2' +...
  8. P

    Elastic Collision - but no Final Velocities given

    [SOLVED] Elastic Collision - but no Final Velocities given! Homework Statement An object of mass 2.0kg is moving at 4.0 m/s to the right. It collides elastically with an object of mass 1.0kg moving at 12.0 m/s to the left. Calculate the velocities of the objects after the collision...
  9. K

    Kinetic energy and elastic collision question

    okay i have a problem that deals with an elastic collision. so i have the mass of obj A and B and i found the initial velocity of A and B, and i have the final velocity of A and B so now i want to find the change in Kinetic Energy, so i am doing .5(mA + mB)( velocity final ^2) - .5(mA + mB)(...
  10. F

    Analyzing an Elastic Collision in 2D: Solving for Speed and Angle

    Homework Statement there are two masses, the smaller sitting still, and the larger with 5 times the mass of the smaller hits it going 12 m/s. the smaller rebounds at an 80 degree angle from the direction of the original mass. the collision is elastic. find the speed of both objects and the...
  11. R

    Off-center elastic collision with m2=2m1

    Homework Statement The mass m1 has the velocity (v1i)\hat{i} and makes an off-center collision with m2=2m1. The final velocities are v1f=a1\hat{i}+b1\hat{j}, and v2f=a2\hat{i}+b2\hat{j}. Assuming elastic collision and v2i=0m/s, obtain the values of a1, a2, and b2 for the given value of b1...
  12. J

    How Do You Calculate Velocity After an Angular Elastic Collision?

    Homework Statement Two identical pucks are on an air table. Puck A has an initial velocity of 2.6 m/s in the positive x-direction. Puck B is at rest. Puck A collides elastically with puck B and A moves off at 2.50 m/s at an angle of +16.3° above the x-axis. What is the speed and direction of...
  13. L

    Angle of Queue Ball after elastic collision

    Homework Statement Assume an elastic collision (ignoring friction and rotational motion). A queue ball initially moving at 2.2 m/s strikes a stationary eight ball of the same size and mass. After the collision, the queue ball's final speed is 0.61 m/s. Find the queue ball's angle \theta...
  14. A

    What are the velocities of two objects after an elastic head-on collision?

    A 10.0 g object moving to the right at 22.0 cm/s makes an elastic head-on collision with a 15.0 g object moving in the opposite direction at 32.0 cm/s. Find the velocity of each object after the collision. First, I converted the masses to kg and the velocities to m/s. I used m1v1i + m2v2i =...
  15. M

    Electron-Proton Elastic Collision

    Homework Statement Consider the electron-proton elastic collision. Prove that the expression for the energy of the outgoing electron is E_f= \frac{E}{1+(2E/Mc^2)sin^2(\theta /2)} where E_f is the energy of the outgoing electron, E is the energy of the incident electron, M is the proton...
  16. P

    What are the final velocities of two balls after a head-on elastic collision?

    Problem: "A ball with the mass of .440 kg moving east (+x direction) with a speed of 3.70 m/s collides head-on with a .220 kg ball at rest. If the collision is perfectly elastic, what will be the speed and direction of each object after the collision? Relevant equations. Conservation of...
  17. G

    Elastic collision question: two marbles

    I just want to know if I am approaching this question correctly. Homework Statement Two marble spheres of masses 30 and 20 grams, respectively, are suspended from the ceiling by massless strings (.95m long). The lighter sphere is pulled aside through an angle of 75 degrees and let go. It...
  18. F

    Elastic collision speed and time problem

    A 0.45 kg ice puck, moving east with a speed of 3 m/s, has a head-on collision with a 0.9 kg ice puck. Assuming a perfectly elastic collision, what will be the speed and direction of each object? Alright, so the first time i go through this problem i solve it, no problem. the answer is 1 m/s...
  19. E

    Elastic collision between neutrons and deuterons

    Homework Statement Canadian nuclear reactors use heavy water moderators in which elastic collisions occur between neutrons and deuterons of mass 2.0u. a.) What is the speed of a neutron expressed as a fraction of its original speed, after a head-on elastic collision with a deuteron which is...
  20. F

    Moving Reference Frames and elastic collision

    Homework Statement Consider a head-on, elastic collision between two bodies whose masses are m and M, with m << M. It is well known that if m has speed v0 and M is initially at rest, m will bounce straight back with its speed unchanged, while M will remain at rest (to an excellent...
  21. H

    Center of Mass Frame for Elastic Collision

    Homework Statement Two spheres of equal radius and masses 5.00 kg and 15.0 kg are sliding towards each other along the same straight line across a frictionless, horizontal surface. Vi1 = 15.0 m/s and Vi2= -9.00 m/s, respectively. During the collision, 25% of the total initial kinetic energy...
  22. S

    Elastic Collision of two balls

    Homework Statement Two balls, Ball A on the left, and Ball B on the right, are moving towards each other. Ball A is much bigger and heavier than Ball B. Ball A is moving with speed x, and Ball B is moving with speed y. They collide, and an elastic collision occurs, sending Ball B rebounding...
  23. M

    Elastic collision and momentum

    If momentum is conserved in a collision. Does this indicate conclusively that the collision is elastic? This is what i concluded but i think i am wrong No, it does not indicate that the collision is conclusively elastic. For an elastic collision to occur both the law of conservation of...
  24. S

    How Do You Calculate the Initial Velocity of a Bullet in an Elastic Collision?

    Homework Statement A bullet of mass m is shot into a block of mass M that rests on a rough surface with coefficient of kinetic friction k. The block slides for a distance of x meters before coming to a stop. Derive an expression for the initial velocity of the bullet. Homework Equations...
  25. R

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  26. P

    What Are the Final Velocities After an Elastic Collision Between Two Particles?

    Let two particles collide. Particle 1 has initial velocity v, directed to the right, and particle 2 is initially stationary. Now assume that the mass of particle 1 is 2m, while the mass of particle 2 remains m. If the collision is elastic, what are the final velocities v1 and v2 of particles 1...
  27. L

    Solving Elastic Collision Homework: Player 2's Final Velocity

    Homework Statement A collision occurs between two football players. Player 1 has mass of 75 kg and a velocity of 6 m/s. Player 2 has mass of 150 kg and a velocity of -3 m/s. Assuming an ELASTIC collision, what is the final velocity of player 2? Homework Equations They gave us this...
  28. A

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  29. S

    Elastic Collision shuffleboard problem

    Homework Statement A moving shuffleboard puck has a glancing collision with a stationary puck of the same mass. If friction is negligible, what are the speeds of the pucks after the collision? http://img179.imageshack.us/img179/277/phyqp2.jpg The Attempt at a Solution I ended up with...
  30. A

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    A ball drops to the floor and bounces,eventually coming to rest.Collisions between the ball and floor are elastic;the speed after each collision is e times the speed before collision where e<1.If speed just before 1st bounce is v,find the time taken to come to rest.
  31. J

    How to solve an elastic collision problem?

    Homework Statement A 4 kg block moving to the right at 6 m/s collides elastically with a 2 kg block moving to the right at 3 m/s. Find the final velocities and the initial and final energies. Show all your work. [ignore external forces] Homework Equations In an elastic collision...
  32. O

    Finding the Next Collision Point in an Elastic Collision Problem

    Homework Statement A mass of .59 kg and a velocity of - 0.75 m/s approaches a stationary mass of 0.35 kg that is 53 cm away from the edge of a wall. The stationary (m2) pushes against a spring (elastic collision) that is within the 53cm of separation and reverses direction. How far from the...
  33. R

    Elastic Collision with 280kg Ball: Mass & KE Transfer Calculation

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  34. F

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    Homework Statement A 45 g steel marble collides obliquely w/ an identical stationary marble, and continues at 55 degrees to its original direction. The collision is perfectly elastic. What is the angle between the direction taken by the target ball and the original direction of the incident...
  35. T

    2 dimensional elastic collision

    Hey, I'm having problems with this: A particle m with initial speed V1 collides with a particle at rest with mass 3m. After collision, particle with mass m is seen moving 30 degrees from its initial direction. What is the angle of motion of the 2nd particle after collision? I can get three...
  36. J

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  37. I

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    I also cross-posted this on another website (http://www.dance.net/topic/5577521/1/Homework-Help/Physics-dilemma-Elastic-Collisions.html"), so I'll just copy & paste. I got three completely different answers while using equally legitimate formulas (formulae)? This is on elastic collisions...
  38. B

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  39. A

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    Ok, I ran across this question as I was doing my homework and I thought it looked pretty easy. I worked on it for an hour and still had no luck with getting the correct answer. Here is the full text: An elastic collision occurs between two air hockey pucks in which one puck is at rest and the...
  40. C

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  41. M

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  42. B

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  43. B

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  44. A

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    I am having a lot of difficulty with this problem: Consider a frictionless track as shown in Figure P6.48. A block of mass m1 = 4.20 kg is released from A. It makes a head on elastic collision at B with a block of mass m2 = 10.5 kg that is initially at rest. Calculate the maximum height to...
  45. C

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  46. M

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  47. R

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  48. T

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  49. J

    Elastic Collision of two wood blocks

    Two blocks are free to slide along a frictionless wooden track ABC as shown in Figure P9.20. The block of mass m1 = 5.07 kg 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...
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