Elastic collision Definition and 531 Threads

Homework Statement A particle B is standing still while another one, A, is moving towards it with initial 4-momentum ##(E,p,0,0)##. Calculate the change in particle A's 4-momentum as viewed from the particle B's rest frame, in terms of the initial energy E and the scattering angle ##\theta##...

Homework Statement Hello I am trying to predict vector after collision of 2 ball in biliard. I am using angle-free representation formulas from wikipedia : https://wikimedia.org/api/rest_v1/media/math/render/svg/14d5feb68844edae9e31c9cb4a2197ee922e409cx1 and x2 are positions of balls, m1 and m2...

Homework Statement Mass m1 = 2kg traveling at v = 3 m/s Mass m2 = 3kg traveling at v = 2 m/s After an elastic collision (from opposite directions) what will be the momentum and velocities of each of the bodies ? Homework Equations [/B] Momentum = mass x velocity ##K.E = \frac {1}{2}.m.v^2 ##...

Homework Statement Homework Equations Conservation of linear momentum Conservation of energy Energy-momentum relationship: ##E^2-(m_0c^2)^2=c^2p^2## Lorentz transformation of energy: ##p=\gamma(v)(p'+vE'/c^2)## ##\mathbf{p}=\gamma(v)m_0v##, ##E=\gamma(v)m_0c^2## The Attempt at a Solution My...

Homework Statement Two certain small objects A and B, each have mass m. A is suspended using a lightweight, inelastic string, and B is placed on a rough horizontal floor in a position where it is in contact with the vertically suspended A. Next, A is raised to height h above its original...

Homework Statement There is a 4 kg mass that has a speed of 6 m/sec on a horizontal frictionless surface. The mass collides head-on and elastically with an identical 4 kg mass initially at rest. The final speed of the first 4 kg mass is: (a) 0 m/s (b) 2 m/s (c) 3 m/s (d) 6 m/s Homework...

I just want to state that i DID solve the problem. I just seek understanding of it. I'd be really grateful if someone could answer two of my questions at the end of this post. The problem I've solved here is just to show what I'm dealing with. 1. Homework Statement Object 1 is moving towards...

Homework Statement The attached file is all the information on the problem Homework Equations .5mv^2 =.5mv1^2 + .5m2^2 p = mv The Attempt at a Solution I've tried plugging the known values in the equations and and substituting the various equations together and every time I come up with an...

There is 4 parts to this one question. A 2.0 Kg block is traveling to the right with a velocity of 3.0 m/s. The block collides with a stationary 1.0 kg block and the blocks bounce apart (elastic collision). 1. Homework Statement (a). if the velocity of the 1 kg block is +4 m/s after the...

Homework Statement Homework EquationsThe Attempt at a Solution How do I calculate part d? I know that (m2-m1)v0 = m2v2+m1v1 where v0 = root (2gh), v1 and v2 are the new velocity of the masses (m2+m1)v02 = m2v22 + m1v12 I also know that v2-v1=2v0 but how do I separate the KE of mass 2?

Homework Statement 1. Two skateboarders start from rest on opposite sides of a ramp like the one in the image, roll down and collide elastically on the level part of the ramp. The masses of the skateboarders are m1 = 48 kg and m2 = 55 kg and they both start from the height h = 4.70m. Ignoring...

Homework Statement A particle A of mass m and initial velocity v collides with a particle B of mass m 2 which is at rest. The collision is head on, and elastic. The ratio of the de-Broglie wavelengths λA to λB after the collision is Homework Equations u initial velocity v final velocity The...

Homework Statement A mass 1.3 kg is initially at rest at the top of a 1.8 meter high ramp. It slides down the frictionless ramp and collides elastically with an unknown mass which is initially at rest. After colliding with the unknown mass, the 1.3 kg mass recoils and achieves a maximum height...

Homework Statement Homework Equations p=mv K=(1/2)mv2 Integration and Derivation Methods J=mΔv The Attempt at a Solution So far I set Pbefore=(Δm*u)+(MVcar), with Vcar depending on the time that has passed (I'm not sure how I should find the function for Vcar(t). For Pafter I included the...

Homework Statement The questions showed in the pictures ask me whether the collisions in the drawings could be elastic or inelastic, I am not given any mass, the angles are a little vague but I think B and C are supposed to be π/2 and π respectively. For velocity, I am just given the direction...

fHomework Statement Question b: Homework Equations E2=c2p2+m2c4 The Attempt at a Solution We have c2pinitial2=E02-m2c4, and Ef2=c2p2+m2c4 for each outgoing proton. Combining those equations we get c2p2=Ef2-E02+c2pinitial2. I don't know where to go from here.

I am making a physics simulator and this problem is tricky. You have two freely moving objects with known masses and velocities in a frictionless environment. The first object is a ball and the second is a pipe. They are moving toward each other. I need to know what formulas are used to simulate...

Homework Statement Both object A and B have mass M and are moving. An object with mass of m and moving with velocity u collide with the object B elastically. (m < M) Find the following after m collide with B 1) Velocity of m after bouncing back 2) Velocity of B Then m collide with A and bounce...

I was thinking about Newton's Cradle the other day, and I wondered how those collisions actually look like in detail. Which then got me thinking that my understanding of even a basic elastic collision of two macroscopic objects is weak to say the least. Simplified, the two objects could be two...

Homework Statement [/B] A mass ##m## travels in a straight line with velocity ##v_0## perpendicular to a uniform stick of mass ##m## and length ##l##, which is initially at rest.. The distance from the center of mass of the stick to the path of the traveling mass is ##h##. Now the traveling...

Homework Statement Prove that in the elastic collision of two objects of identical mass, with one being a target initially at rest, the angle between their final velocity vectors is always 90 degrees. Homework Equations m1v1+m2v2 = m1v1'+m2v2' 1/2m1v1^2 +1/2m2v2^2 = 1/2m1v1'^2 + 1/2m2v2'^2...

Homework Statement Homework Equations Conservation of linear momentum Conservation of angular momentum ##\frac{-v_{relative after collision}} {v_{relative before collision}}=e## where e is coefficient of restitution The Attempt at a Solution Components of velocity given as...

Homework Statement Suppose a heavy particle (mass m1) has an elastic head-on collision with a very light particle of mass m2 initially at rest. Show that if m1>>m2, the velocity of the projectile (m1) is practically unchanged, whereas the target particle (m2) acquires a velocity v2' = 2v1...

Homework Statement A billiard ball moves at a speed of 4.00m/s and collides elastically with an identical stationary ball. As a result, the stationary ball flies away at a speed of 1.69m/s, as shown in Figure A2.12. Determine: the final speed and direction of the incoming ball after the...

Homework Statement . True or False:[/B] For a completely elastic collision of two isolated masses the energy lost is ½μνr2 Where μ is the reduced mass of the system and νr is the magnitude of relative velocity between the two particles. Homework EquationsThe Attempt at a Solution Elastic...

1. 2. The equations are the equations of conservation of momentum: m1v = m1v1cosθ1 + m2v2cosθ2 0 = m1v1sinθ1 + m2v2sinθ2 3. I tried to solve it using the above equations and also tried using kinetic energy conservation since it's an elastic collision. But I can't work out the...

In an Elastic Collision in free space with no gravity or friction of two solid balls of radius r1 and r2 I need to calculate the momentum and kinetic energy of the induced spin with angular velocity w1 and w2 to solve for the Conservation of Momentum and Kinetic Energy. Spin Angular Velocity w1...

Homework Statement A billiard ball moves at a speed of 4.00 m/s and collides ELASTICALLY with an identical stationary ball. As a result, the stationary ball flies away at a speed of 1.69 m/s. Determine a. the final speed and direction of the incoming ball after the collision b. the direction...

Im learming physics through google and I would like to be able to simulate some simple physics prgromatically. Having a hard time with solving for velocites after an elastic collision. Consider two objects, each with a mass of 1kg. One at rest and the other with velocity of 1 m/s in the...

Hi everyone, I remember years ago at school memorising the derivation of the formula for pressure in the kinetic theory of gases, as explained in this Youtube video: Thinking a little more deeply about this derivation there are two things I don't get: 1) At 0:53, the video says the molecule...

1. Homework Statement A projectile of 45kg has a muzzle speed of 656.6 m/s when fired horizontally from a gun held in rigid support (no recoil). What will be the muzzle speed (relative to the ground) of the same projectile when fired from a gun that is free to recoil? The mass of the gun is...

In my experiment I am performing a collision with two carts with magnets attached with photogates and a labquest on an air track. I pushed the carts together and made sure that the carts did not come into contact. Based on my knowledge of collisions, I believed that the collision would have been...

Homework Statement Please see the attached photo. (down) Hminitial= 1.5R M = 2/3m Perfectly elastic collision What is the velocity of object m immidiatly after the collision? (by m,g,R) Homework Equations Conservation of energy Conservation of momentum The Attempt at a Solution I assumed...

Homework Statement A body X moving with a velocity v makes an elastic collision with a stationary body Y of equal mass on a smooth horizontal surface. Which statement gives the velocities of the two bodies after the collision? (multiple choice question)The Attempt at a Solution The answer...

Homework Statement This is not really a homework problem, just me trying to get a ballpark number for a random problem. Suppose I have a neutron flying at some energy and it hits an oxygen atom. If the oxygen atom, after the collision, now has 20 keV of energy, but before, had ~ 0, is there a...

Homework Statement Show that if an elastic collision between a mass and a stationary target of equal mass is not head-on that the projectile and target final velocities are perpendicular. (Hint: Square the conservation of momentum equation, using ##p^2=p\cdot p##, and compare the resulting...

Homework Statement "A particle with mass ##m_1=1kg## traveling at ##v_{1_{0}}\frac{m}{s}## collides with a stationary particle with mass ##m_2=2kg##. How small is the speed of ##m_1## after the collision compared to before?" Homework EquationsThe Attempt at a Solution...

Homework Statement [/B]A 2.0 kg ball moving with a speed of 3.0 m/s hits, elastically, an identical stationary ball as shown (The first ball is traveling to the right). If the first ball moves away with angle 30° to the original path, determine the speed of the first ball after the collision...

Homework Statement [/B] A 2.3 kg object traveling at 6.1 m/s collides head-on with a 3.5 kg object traveling in the opposite direction at 4.8 m/s. If the collisions is perfectly elastic, what is the final speed of the 2.3 kg object? Homework Equations Conservation of Energy: 1/2 m*vi^2 = 1/2...

Homework Statement A super cue ball is made of the same material with the target ball (radius r) but slightly larger: rc = (3)^(1/3)*r The cue ball collides with the target ball on a frictionless table, as shown below, with initial speed of v0. The collision is not head-on, as shown below. a)...

Homework Statement Homework Equations et Em and pm be the energy and momentum of the mass m after the collision. Let p and p' be the momentum of mass M before and after the collision. From conservation of 4 momentum: \begin{bmatrix}E+m \\ p\end{bmatrix}=\begin{bmatrix}E_m+E' \\...

Homework Statement There are two elastic "superballs" of mass M and m placed on top of each other with a smal distance. The lighter ball of mass m is on top of the bigger ball of mass M. The balls are released from a height h and have velocity u when they hit the ground. Prove that the top ball...

Homework Statement Two blocks are free to slide along a frictionless wooden track ABC as shown below. The block of mass m1 = 5.09 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...

Homework Statement A railway waggon of mass m=20t is traveling with v=18km/h. It then hits 10 other stationary railway waggons, with each one having the same mass of m=20t . (Friction is not being considered) Homework Equations a) Assume the 10 railway waggons are connected through strong...

In elastic collision momentum and kinetic energy are conserved. Where as in inelastic collision K.E. and P are not conserved since K.E. lost during deformation in target object is consistent with momentum conservation. The question here is in context of working out with a 70kg heavy bag (m2 )...

Homework Statement [/B] The problem statement is: A helium atom traveling at a speed of 240 m/s hits an oxygen atom at rest. If the helium atom rebounds elastically, from the oxygen atom at an angle of 90° with respect to the original direction of motion, what are the final velocities of both...

Homework Statement A steel ball of mass 0.890 kg is fastened to a cord that is 50.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal, as shown in the figure. At the bottom of its path, the ball strikes a 2.50 kg steel block initially at rest on a...

Homework Statement Why are the Center of Momentum velocities of masses after a 2D elastic collision anti-parallel? (as in the following diagram) Homework Equations CM_Velocity = (∑m_i*v_i)/(∑m_i) The Attempt at a Solution This is not actually a problem I have to do. I am just looking for a...

From the hyperphysics site http://hyperphysics.phy-astr.gsu.edu/hbase/elacol2.html#c1 on classical elastic collisions I see that if an incoming particle of mass ##m_1## with velocity ##v_1## collides into a stationary target particle of mass ##m_2## then the velocity of the target particle after...

How do I derive the energy transfer equation in an elastic collision of two bodies of masses m and M respectively,using the energy and momentum conservation relations in the laboratory frame? $$\frac{1}{2} m_1 v_0^2 = \frac 1 2 m_1 v^2 + \frac 1 2 m_2 V^2$$ $$m_1 v \cos(\phi)=m_1 v_0 -m_2 V...