Elastic collision Definition and 531 Threads

Homework Statement Two pucks of equal masses collide in a non-head-on collision. Puck 1 with a velocitiy ##u_1 = 2.50\ m/s## impacts puck 2 at rest, in a 28-degree angle. Assuming no friction between the pucks, find their final velocities. Data: ##m_1 = 5.00\ kg## ##u_1 = 2.50\ m/s##...

Homework Statement Cart 1 on ball-bearing wheels is moving at 4m/sec. It rolls down the hill and hits a stationary cart 2. The collision is elastic. The height of the hill is 1.02 m. Mass of Cart 1: 200 grams; Mass of Cart 2: 400 grams: Find the velocity of cart 1 at point B. [/B] Homework...

Homework Statement A 100g ball moving to the right at 4.1m/s catches up and collides with a 400g ball that is moving to the right at 1.0m/s . a)If the collision is perfectly elastic, what is the speed and direction of the 100g ball after the collision? b)If the collision is perfectly elastic...

Homework Statement A ball is thrown against a fixed wall where it bounces elastically. The mass of the ball is M and the velocity just before it hits the wall is U. Ignore the force of gravity in this question. a) Does the Principle of Conservation of Momentum apply to this situation? b) Obtain...

This is a modified problem from the one posted a few days ago. I’ve been unsuccessfully trying to solve it since then, so maybe it’s time to ask for some help. I’ve changed the quantities :) 1. Homework Statement The mass of puck 1 is ##0.2\ kg## and that of puck 2 is ##0.25\ kg##. The...

Homework Statement The first ball collides with ##v_1## collides with the second two as shown in the picture. All balls are identical and the second balls have no speed at the beginning. Find the transform matrix and find the covariation matrix after the collision if it is ## \begin{bmatrix}...

Problem statement: Two pucks of radius 0.05 meters collide as shown in attached picture. The mass of puck 1 is 0.1 kg and that of puck 2 is 0.15 kg. The initial velocities are v1i = 1 m/s and v2i= 0.6 m/s. (1) Assuming no friction between the pucks, only normal forces during collision, in...

Homework Statement I can't believe it how my brains stopped cooperating today. We have the first ball with ##m_1 ## and ##v_1## and of course the second one with ##m_2## and velocity ##v_2##. Covariance matrix before the collision is ##M= \begin{bmatrix} \sigma _1^2 & 0\\ 0& \sigma _2^2...

Problem Statement: Moe Mentum and Ken Ettik are playing pool. Moe hits the cue ball, sending it towards the 6 ball at 2 m/s. It strikes the stationary 6 ball off-center, moving off at a 60 degree angle from the original direction after a perfectly elastic collision. Both balls have a mass of...

Homework Statement Solve for the Velocity of each mass after the collision. Homework Equations Pi = Pf Ki = Kf The Attempt at a Solution Okay so I've tried setting up a system of equations to solve for the unknown velocity and angles. The problem is that I can't seem to find either unknown...

Homework Statement Two spheres of mass M1 and M2 are arranged one above the other as shown. They are separated by a fraction of a mm. They are released from rest and allowed to fall to the ground, a distance h = 5.0 m below. Mass M2 collides elastically with the ground and then elastically...

Homework Statement A ball bounces on the floor with elastic collisions like in the drawing. The collisions take a short time in comparison to the travel between the collisions. What is the direction of the acceleration at point B? Why is the magnitude of the acceleration at point B bigger...

Two blocks are released from rest on either side of a frictionless half-pipe. Block B is more massive than block A. The height HB from which block B is released is less than HA, the height from which block A is released. The blocks collide elastically on the flat section. After the...

Before you go through all the trouble of reading all this back story the real information is towards the bottom starting at KEM1=KEM2=KEt. Hello, i was currently playing with a two separate masses ( a yoga ball, and a small bouncy ball, yes i know juvenile), while i bounced the two objects with...

Homework Statement Two identical masses collide. one is at rest. what are their final velocities. Homework Equations The relative velocities before and after the collision are identical: ##v_1-v_2=-(u_1-u_2)## The Attempt at a Solution I draw the final velocities in the same...

In an elastic collision against a wall, where the angle of incidence is equal to the angle of deflection, why is it assumed that friction effected no impulse, and only the normal force did? I can understand if this was stated in the problem by saying "frictionless surface, or whatever" but this...

Definition/Summary A collision is said to be elastic if the total kinetic energy of all the bodies involved in the collision remains constant. Most collisions are NOT elastic. Conservation of momentum applies to ALL unrestrained collisions. Equations For a two body collision...

Homework Statement Ball 1, with a mass of 110g and traveling at 15m/s , collides head on with ball 2, which has a mass of 350g and is initially at rest. What are the final velocities of each ball if the collision is perfectly elastic? Homework Equations Conservation of momentum: m1u1 +...

Hello! I need help with this physics problem, I've some what attempted it and I need some feedback. ANY help would be awesome! Homework Statement Two objects (A and B) of equal mass, undergo an elastic collision in deep space. Initially, B is at rest and A approaches at velocity v. The...

Homework Statement 2 masses moving on a friction less surface. one of 2 kg moving at a speed of 10 and one of 6 kg moving at the speed of 4. at the back of the heavier one is a spring with a constant k=800. What is the maximum shortening of the spring Homework Equations Conservation of...

Homework Statement I made an example, two masses colliding elastically according to the drawing. i only know the direction of the first mass after collision (can i determine also the velocity?) I try to solve but i go into difficulties. Homework Equations Conservation of momentum...

Homework Statement In a one dimensional elastic collision there are two equations: conservation of momentum and conservation of energy. by solving those 2 sets we get that the relative velocity before equals minus the relative velocity after: v_1-v_2=-(u_1-u_2) Is this equation valid also in...

Homework Statement A body of mass 3 kg slides on a friction less surface with velocity 4 m/s and collides elastically with a resting mass of 2 kg. calculate the final velocities. Homework Equations Conservation of momentum: m_1v_1+m_2v_2=m_1u_1+m_2u_2 Conservation of energy...

This may be intuitively obvious to you and I'm just missing it. Say you had 3 balls each with a mass of 1g. Each moving at velocity of 10m/s on a 2D Cartesian plane. Ball 1 & 2 are moving toward the origin from opposite sides, so they are approaching each other at 20m/s. Ball 3 moving from...

Homework Statement A block with large mass M slides with speed V0 on a frictionless table towards a wall. It collides elastically with a ball with small mass m, which is initially at rest at a distance L from the wall. The ball slides towards the wall, bounces elastically, and then proceeds to...

Homework Statement A steel ball of mass m is fastened to a cord of length L and released when the cord is horizontal. At the bottom of the path, the ball strikes a hard plastic block of mass M = 4m at rest on a frictionless surface. The collision is elastic. Find the speed of the block...

Homework Statement A body of mass 2.0Kg makes an elastic collision with another body at rest and continues to move in the original direction but with one-fourth of its original speed. What is the mass of the other body?Homework Equations Because it is an elastic collision I know that Energy and...

Hello, My textbook says that if two equal masses, with the second one of them at rest initially, collide in an elastic collision. The first mass will stop and the second one will have the initial speed of the first mass. WHY? This makes no sense to me. Elastic collision only means momentum...

1. A steel ball of mass 0.400 kg is fastened to a cord 60.0 cm long and fixed at the far end, and is released when the cord is horizontal. At the bottom of its path, the ball strikes a 2.00 kg steel block initially at rest on a frictionless surface. The collision is elastic. Assuming the...

We have 2 masses: one with mass \(M\) with velocity \(V_0\) and the other with mass \(m\) and velocity \(0\). \begin{align} MV_0 &= MV_0' + mv'\\ M(V_0 - V_0') &= mv'\qquad (*)\\ MV_0^2 &= MV_0^{'2} + mv^{'2}\\ M(V_0 - V_0')(V_0 + V_0') &= mv^{'2}\qquad (**) \end{align} So let's take...

Homework Statement In deep space a 7.0 kg rubber ball moving along the x-axis with a speed of 20 m/s collides ELASTICALLY with another ball of mass = 25 kg. After the collision the 7.0kg rubber ball's velocity is directed in the positive y axis. Find the final speed of the 7 kg ball, as well...

I have a 3DOF gryo with massless bearings and gimbals that is enclosed in case or cylinder. The cylinder will limit the range of motion of the gyro. Please see the pictures. I am trying calculate rotor velocities in pitch and yaw after a collision with the cylinder wall. The...

Hello, I have difficulties with this problem: The body mass m1 = 20 g is fired with a spring, k = 72 N / m from position A. On arrival at point B hits completely elastic body mass m2 = 15 g. Find the distance x of compressed spring so that the mass m2 reaches point C separated a distance d...

From University Physics, Homework Statement Canadian nuclear reactors use heavy water moderators in which elastic collisions occur between the neutrons and deuterons* of mass 2.0 u (see Example 8.11 in Section 8.4). (a) What is the speed of a neutron, expressed as a...

Homework Statement Suppose that two elastic balls moving through three dimensional space collide and rebound, conserving both kinetic energy and momentum. The balls cast shadows, and these shadows moving over a flat two-dimensional surface come together, collide and rebound. Now pretend the...

Homework Statement A 0.26 kg cue ball with a velocity 1.2 m/s collides elastically with a 0.15 kg billiard ball at rest. What percentage of the initial kinetic energy is transferred to the billiard? m1= 0.26kg Vi1= 1.2 m/s Vf1= ? m2= 0.15kg Vi2= 0 m/s Vf2= ? Homework Equations...

Hi everyone, I am stuck with this problems. Homework Statement A block (m1 = 2.5 kg) sits at rest on a horizontal frictionless surface, connected to an unstretched spring (k = 190 N/m) whose other end is fixed to a wall. Another block (m2 = 1.0 kg) whose speed is 4.0 m/s collides head-on...

What would the Hamiltonian for a system of two classical point particles, with no interaction except for an elastic collision between them at a point look like? My gut says it's the usual T + V, with T = p12/2m1 + p22/2m2 and V = Kδ(r1-r2) With K approaching infinity -- each particle...

Homework Statement A ball with an initial speed of v1 = 21.5 m/s collides elastically with two identical balls whose centers are on a line perpendicular to the initial velocity and that are initially in contact with each other. The first ball is aimed directly at the contact point and all...

Homework Statement part #1: A wooden block with m1 = 2.9kg is sliding across a frictionless surface in the −x direction at 4.5 m/s. A smaller wooden block with m2 = 1.1 kg block is traveling in the +x direction at 2.9 m/s. part #2: Now they make a head-on elastic collision. (This means that in...

What would you respond on this question? Would you correct me if necessary on my response please? Thanks 1. A turtle and a Lion have a violent collision on a frictionless horizontal field. As you witness the collision you realize that you are in the center of mas system. After the collision...

Homework Statement Prove that, for any 1D elastic collision between two particles: as viewed from the centre of mass (or zero momentum) frame of reference, the velocity of each particle after the collision has the same magnitude but opposite sign to its velocity before the collision. 2. The...

Homework Statement Particle A has mass m and initial velocity v0. A collides with particle B, which has mass M and is initially at rest. After the collision, the particles follow the paths shown in the figure. Calculate φ in degrees, for an ideal elastic collision. Data: m = 0.7 kg; M =...

A ball (mass m1 = 2 kg, velocity v = 5 m/s [the ball moves horizontally]) collides with another ball (mass m2 = 8 kg) which is hanging on a string (length l = 1.35 m). The collision is completely elastic. What is the tension force affecting the ball (m2) immediately after the collision? I...

This isn't an actual homework problem, but it feels like it could be. Homework Statement Two masses, m1 and m2 are involved in an elastic collision. The initial velocities v1_0 and v2_0 are 1 and -2, respectively. The final velocities v1_1 and v2_1 are -3 and 0, respectively. Solve for...

Homework Statement A rod of mass M is lying on a flat frictionless surface. A small ball of mass m and velocity v collides with the rod in the center at the rod at right angle to the rod. The collision is elastic. Homework Equations a) Where is the axis of rotation for the rod...

Homework Statement Ball A with mass 4 kg is moving with a velocity of 8 m/s North when it crashes into Ball B with unknown mass moving with a velocity of 6 m/s West. This collision is perfectly elastic. If Ball A ends up moving with a velocity of 6.5 m/s @ 120° after the collision, find the...

Homework Statement Two balls collide on a frictionless surface. Mass m1 = .4 kg and Mass m2 = .3 kg . The initial velocity of m1 is 3 m/s. While m2 is at rest. After the collision the velocity of m1 is 1.5 m/s, θ1 above the horizontal. While m2 gains an unknown velocity of v2f, θ2 below the...

Homework Statement A ball of mass 100 g is projected straight up with a speed of 5 m/s from the floor. Another ball of mass 50 g is hung from the ceiling by a light string at a height of 1.00 m directly above the first ball, so that the projected ball collides elastically with it. Calculate...

Homework Statement A 67.6g tennis ball with an initial speed of 28.8m/s hits a wall and rebounds with the same speed. The figure below shows the force of the wall on the ball during the collision. What is the value of Fmax, the maximum value of the contact force during the collision, if the...