Elastic collisions Definition and 117 Threads

Homework Statement if m1 and m2 (m1= m2, (vm1 = 4m/s)) collide at an angle λ (60°) we can fully predict oucome: angles (60° and 30°) and speeds (2 and 3.46) can we predict the outcome if we know that m1/m2 = 3/ 5 ?

Homework Statement A 0.045kg Steel marble collides obliquely with 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 of the target (previously static) ball and the original...

Alrighty, I'm working on a three dimensional physics simulator that does every operation in spherical coordinates and vectors, and I'm stuck on figuring out elastic collisions. are elastic collisions essentially trading momentum between the two colliding bodies? I'm assuming not, but i can't...

Hi everybody. That's my first (of many) post here! I'm a brazilian guy who is trying o solve de Wopho's Problems. And onde of then called my attention for the criativity using an (theoterically) easy concept of elastic collision. The problem is the second...

Homework Statement I am trying to write (for my own interest) a program in C that solves a simple 1-dimensional physics problem. I want the program to determine the times (after t=0) of the first ten collisions for two elastic balls constrained between elastic walls at x=0 and x=a. The user...

Homework Statement Q: Two air track gliders of masses 300g, and 200g move towards each other in opposite directions with speeds of 50cm/s and 100cm/s respectively. Take the direction of the more massive glider as positive. If the collision is elastic, find the velocity of each glider AFTER...

Hi guys, just wanted to clear a few things up for myself.. By rearranging the conservation of momentum and conservation of energy equations I think I've shown that a collision that involves the colliding objects moving off together after the collision (like a bullet getting stuck in a...

Homework Statement A ball is dropped straight down onto a wedge that is sitting on top of a frictionless surface. The wedge is at an angle of 45degreees and has a mass of 5.00kg. The ball has a mass of 3.00kg. If the ball collides with the wedge at 4.50m/s, and the collision is instantaneous...

Hi, I'm trying to make a 2d simulation of elastic colliding balls. I have a hard time deriving the motion equations after collision. For each ball i know the speed, the mass and the angle of movement. Can anyone point me in the right direction to find the general equations for this ? I need the...

assuming collisions are elastic... right 5 equal masses, if you displace the first ball then you observe balls 2-4 stationary and 5 moves off with equal speed to the right, as all the momentum and energy is passed to ball 2, ball 1 stops, ball 2 then passes all its momentum and energy to ball...

Homework Statement Derive formula for elastic collisions in one dimension, unequal masses target at rest. i am having trouble acquiring the same formula that the book gives me, please tell me where my algebra is incorrect... i need to be able to derive these formulas properly because...

1) A tennis ball of mass mt is held just above a basketball of mass mb. Their centers are vertically aligned. They fall through a height h, then there's an elastic collision with the ground which reverses the velcoity of the basketball while the tennis ball is still moving down because the...

Homework Statement There are 3 blocks, A B and C, arranged left to right. blocks A and C have masses of m and block B has mass of 2m. block A heads toward the other two with velocity v. determine the final velocity of each block after all subsequent collisions. assume all collisions are...

If one observer in an inertial reference measures a collision to be elastic, then all observers in an inertial reference frame will measure the collision to be elastic - can this be explained with the conservation of energy? What exactly does the conservation of energy principle say in regards...

My friend is programming a curling application for the Android. He needs a way of calculating the results of perfectly elastic collisions in 2 dimensions with perfectly round objects (curling stones in this case, naturally). I know what the basic formula for the conservation of momentum is for...

Hi, I'm helping my friend with a space combat game he is programming. What I'm trying to figure out is how to model the collisions between spheres in 3D. So far I've figured out how to calculate final velocities of 2 colliding spheres using conservation of linear momentum. I found a...

Homework Statement Consider an elastic collision of two particles in the centre of mass frame. Briefly explain why the speed of EACH particle after the collision is the same as before the collision. (FYI this is exam revision so it isn't worth any marks) The Attempt at a Solution...

Homework Statement Two blocks are on a frictionless ramp. The first block has a mass of 5.00kg and is released from the top of the ramp 5.00m. It has a magnet on the front with the north pole facing out. The second block is at rest at the bottom of the ramp and has a mass of 10.00kg. The...

I am unaware of any other method for analyzing elastic collisions other than applying both conservation of momentum and conservation of energy. Since Newton didn't have conservation of kinetic energy to use as a tool was he unable to analyze elastic collisions? PS In the Scholium at the end...

Homework Statement An object (m1 = 5kg) starting from a height of 5 meters, slides down a frictionless track as shown (first object starts in a vertical position, slides down a curved track, and collides with object 2 in a horizontal position) and collides with a second object (m2 = 10kg)...

Homework Statement A ball of mass 2m is moving with a velocity Vo collides elastically and head-on with another ball of mass m at rest. Find the minimum kinetic energy of the system. Homework Equations K = 1/2 mv2 The Attempt at a Solution I personally do not understand what is...

Homework Statement Consider a pool table that contains two identical balls. Ball 1 is rolling at a speed of 1.1 m/sec when it hits ball 2 which is at rest. The coefficients of friction between the balls and the table are 0.8 (potential) and .5 (kinetic). The collision is perfectly elastic...

Homework Statement A uniform rectangular tile drops without spinning until its corners reach positions (0; 0; 0); (2a; 0; 0); (2a; 2b; 0); (0; 2b; 0), when it strikes the top of a vertical pole at a point very close to the (0; 0; 0) corner. Just before impact the velocity of the tile was...

Homework Statement I am unsure about how to go about solving an oblique elastic collision question, I understand that momentum is conserved and how to calculate momentum but unsure as to how to calculate the vectors. The question is : A 45g marble collides with an identical stationary...

Homework Statement After some messey algebra it can be said that V_B = (2 m_A V_o_A)/(m_A + m_B) V_A = ( (M_A - M_B ) V_o_A )/(M_A + M_B) were did this come from? Homework Equations momentum The Attempt at a Solution I don't even know were to start

Just to begin, uhh. I'm 75% sure my work makes logical sense [I hope], and that my problem lies in a computational error. But I really don't know why my answers aren't working out. I've now gone through the problem in 3 different ways, and I keep getting the same answer, but it's apparently...

Homework Statement A 47.0g ball is fired horizontally with initial speed (Vo) toward a 110g ball that is hanging motionless from a 1.00m -long string. The balls undergo a head-on, perfectly elastic collision, after which the 110g ball swings out to a maximum angle theta = 52.0 degrees. What...

Homework Statement In a pool game, the cue ball, which has an initial speed of 8.0 m/s, make an elastic collision with the eight ball, which is initially at rest. After the collision, the eight ball moves at an angle of 30° to the original direction of the cue ball. Homework Equations V8...

Homework Statement Particle 1 of mass m1 = 0.30 kg slides rightward along an x-axis on a frictionless floor with a speed of 2.0 m/s. When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2 = 0.40 kg. When particle 2 then reaches a wall...

Homework Statement A cart with mass 310 g moving on a frictionless linear air track at an initial speed of 1.4 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. After the collision, the first cart continues in its original direction at 0.64 m/s...

Homework Statement A ball rolls off the end of a table of height H. The ball has speed S when it leaves the horizontal table top. We wish to place a can of height h and diameter D at the correct distance from the table’s edge so that the ball lands in the can (aim for the top center of the...

Homework Statement A nuclear fusion reaction occurs when a deuterium nucleus, mass 2m, and a tritium nucleus, mass 3m, combine (each with velocity v in opposite directions). Most of the energy released in the fusion is carried away in the kinetic energy of the product neutron, mass m, and...

1/2m1v1,o=1/2m1v1f^2 +1/2m2v2f^2 and m1v1,0= m1v1f + m2v2f any idea on how to solve for m1v1f and m2v2f

Why is the angle between products in non head on, perfectly elastic collisions always 90 degrees?

ok so, i have an assignment due tomorrow, i know, late starting, but i can't figure out how to rearange the kinetic energy and momentum equation to get the v1f and v2f i know that you have to find one term in the for of the other, but i don't know how to rearange my equation so that i have...

Homework Statement hi everyone ,, how are you all ? ,, i have these two equations and i don't know how to get them : v1f=((m1-m2)/(m1+m2))*v1i +(2m2/(m1+m2))*v2i V2f=((2m1/m1+m2))*v1i+((m2-m1)/(m1+m2))*v2i Homework Equations m1v1i+m2v2i=m1v1f+m2v2f (conservation of momentum)...

1. Homework Statement [/b] Block 1, with mass m1 and speed 3.6 m/s, slides along an x-axis on a frictionless floor and then undergoes a one-dimensional elastic collision with stationary block 2, with mass m2 = 0.69m1. The two blocks then slide into a region where the coefficient of kinetic...

I have read that when a gas atom or molecule collides with the wall of a container that the collision is completely elastic, and that the gas particle has the same energy after the collision as it did before the collision. I don't understand how it could transfer pressure to the container wall...

Homework Statement Q: Consider two identical particles A and B have the same mass m in the inertial frame R where B is at rest. The two particles collide and their trajectories after impact are symmetrical with respect to the incident direction. Let t be the angle between the trajectories...

Homework Statement In an elastic collision between a proton and a helium nucleus at rest, the proton was scattered through an angle of 45 degrees. What proportion of its initial energy did it lose? what was the recoil angle of the helium nucleus? Homework Equations...

Homework Statement A 0.06kg tennis ball, moving with a speed of 2.50 m/s, collides head-on with a 0.09kg ball initially moving away from it at a speed of 1.15m/s.Assuming a perfectly elastic collision,what are the speed and direction of each ball after the collision? Homework Equations...

Homework Statement Minnie mouse (mass m=37.5g) has run to the top of a curved frictionless wedge (height H1=1.15m) She slides down the track and makes a perfectly elastic collision with mickey mouse (mass m=69.8 g) who is at rest. Mickey flies off the table (height H2= .993 m) above the floor...

Homework Statement .100-kg stone rets on a frictionless, horizontal surface. A bullet of mass 6.00g, traveling horizontally at 350 m/s, strikes the stone and rebounds horizontally at right angles to its original direction with a speed of 250 m/s. (a) Compute the magnitude and direction of the...

Homework Statement a .450kg ice puck moving east with a speed of 3 m/s has a head on collision with a .9 kg puck initially at rest. Assuming a perfectly elastic collision what will be the speed and direction of each object after the collision? Homework Equations v1 +v1f = v2+v2f...

Homework Statement A ball is dropped from a height of 10 meters onto a hard surface so that the collision at the surface may be assumed elastic. Under such conditions the motion of the ball is (A) simple harmonic with a period of about 1.4 s (B) simple harmonic with a period of about 2.8...

Dear all, I know the equation to conservation of momentum. How do I show that kinetic energy is always conserved if it says that the mass of the two objects are the same. The following is the explanation I found but I don't get part of it. The red arrow part (attached image) is where...

Homework Statement What is an example of an elastic equation on earth? Homework Equations N/A The Attempt at a Solution Is a ball bouncing on the ground a good example of an elastic collision? (If it is)

Homework Statement A bullet with a mass of 4.0 g and a speed of 653 m/s is fired at a block of wood with a mass of 0.093 kg. The block rests on a frictionless surface, and is thin enough that the bullet passes completely through it. Immediately after the bullet exits the block, the speed of...

Hello, I have recently been interested in the problem of 2- and 3-dimensional elastic collisions. I just don't understand how to solve these problems analytically: in the 2D case we have 4 variables (x,y components of the velocity times 2 bodies) and only 3 equations (2 conservation of...

Hi everyone, i was just wondering, when two objects of the same mass collide (in an elastic collision) the angles that they bounce off from should combine to 90 degrees. right? so I'm trying to prove this, but I'm a little stuck. i used vector component equations, but i arrived at a little...