Elastic Definition and 1000 Threads

As part of my project (designing an artificial spinal disc) I have to design the enplate pieces which will attach to the bone. I am familiar with beam theory with regards to simple supports or cantilever beams but i have not yet studied beams on elastic foundation. I would be extremely...

Homework Statement Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which was initially traveling at 40.0 m/s, is deflected 30.0\circ from its original direction, while asteroid B travels at 45.0 \circ to the original...

[b]1. I was given the equation: (Va1-Vb1)=-(Vb2-Va1) I am suppose to prove this equation with algrebra as to why this is true. I can only use algebra, and can't use any numbers. This is an equation for elastic collisions. There is an object;A and an Object;B. My teacher said the problem...

[SOLVED] Spring Elastic Potential Energy Hi, I have a question (link below with scanned page) on a spring, some load and I have the strain energy of the spring. Can anyone help me double check (a) and guide me along with (b) and (c)? From there I think I know how to do part (d). Your...

Homework Statement A 90-g ball moving at 100 cm/s collides head-on with a stationary 10-g ball. Determine the speed of each after impact if (a) they stick together, (b) the collision is perfectly elastic.Homework Equations p=mvThe Attempt at a Solution I already solved A, but I don't know how...

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...

The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.023 kg and is moving along the x-axis with a velocity of +5.5 m/s. It makes a collision with puck B, which has a mass of 0.048 kg and is initially at rest. The collision is not head-on. After the...

Homework Statement A 3.0 g coin moving to the right at 26.0 cm/s makes an elastic head-on collision with a 12.0 g coin that is initially at rest. After the collision, the 3.0 g coin moves to the left at 12.5 cm/s. (a) Find the final velocity of the other coin. _____cm/s to the right (b)...

[SOLVED] Completely Elastic Proton Collision In my physics class we tried to solve this problem but nobody in the class could figure it out and the teacher was having difficulty with it. It is possible that the book put in a problem that isn't possible to solve... i am not very good with...

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...

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...

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...

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...

[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...

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...

A climber of mass m is scaling the vertical wall of a mountain. His safety rope is made of nylon that, when stretched, behaves like a sping with a spring constant k. He stops to rest, but then accidentally slips and falls freely for a distance h before the rope runs out of slack. The rope then...

Hello, I'd like to verify that the elastic ribbon model [ depicted here: http://www.math.h.kyoto-u.ac.jp/~takasaki/soliton-lab/gallery/solitons/sg-e.html ] is governed by the sine-Gordon equation. I suppose this can be shown by writing the lagrangian L = T - V and looking at the variation. The...

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' +...

Homework Statement The following is the data I collected. I set a weight on a spring and measured how far the spring was stretched. The spring was not oscillating, just stretched and left at rest. Load (kg): 0.300 0.400 0.500 0.600 0.700 0.800 0.900 Weight (Converted the above load...

[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...

I originally posted this in the homework section until I realized the homework section only covers through undergraduate courses. The course I am currently in is a graduate level Medical Physics course. So if you don't mind, here is the thread I posted in the homework section. I am...

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)(...

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...

[SOLVED] Elastic potential energy I am not sure what the question ask, and have no clue in solving this question, can somebody help me? http://tinyurl.com/3a8vnu

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...

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...

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)

Initial velocities and masses of the objects colliding...?

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...

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...

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 =...

Please!1 small elastic ball is dropped from the height h = 1.1 m onto an incline. After hitting the incline the ball bounces and hits the incline the second time. The ball bounces at same speed with which it hits the incline. The angle of the incline is 32 degrees. The angle between the normal...

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...

Hello Everyone. It has a year since I have worked with Elastic Potential Energy & I have forgotten the formula to work it out. I have this question and would appreciate it if anyone could tell me how to do it, or tell me the formula of how to work it out. So here it is: Rachel pulls...

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...

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...

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...

What shape does an elastic band describe when hanging from two opposite points and suspending midway a weight W (causing deformation comparable to the droop without W)?

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...

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...

Homework Statement A spring of spring constant k is suspended from the ceiling with a mass M attached to its lower end. The spring has negligible mass. Show that the sum of the elastic potential energy of the spring and the gravitational potential energy of the mass is a minimum at the...

Homework Statement A glider with mass 0.200kg sits on a frictionless horizontal air track, connected to a spring with force constant k = 5.00N/m. You pull on the glider, stretching the spring 0.100m and then release it with no initial velocity. The air track is turned off, so there is a...

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...

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...

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...

Homework Statement A horizontal spring, of force constant 12 N/m is mounted at the edge of a lab bench to shoot marbles at targets on the floor 93.0 cm below. A marble of mass 8.3 X 10 ^ -3 kg is shot from the spring, which is initially compressed a distance of 4.0 cm. How far does the marble...

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...

1. A spring is suspended froma ceiling and a 256 g mass is attached to it and pulled down to stretch the spring by 18.2 cm. THe mass is released and travels through the equilibrium position with a speed of 0.746 m/s. Calculate the force constant of the spring/ 2. 1/2kx^2 = Ee 1/2mv^2 =...

Homework Statement Which of the following statements are true about elastic and inelastic collisions? True False for elastic collisions, linear momentum is conserved but kinetic energy is not True False for inelastic collisions, neither linear momentum nor kinetic energy is conserved...

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...