Elastic Definition and 1000 Threads

Homework Statement Problem 1: The coefficient of restitution for steel colliding with steel is 0.95. If steel is dropped from a height ho above steel plate, to what height will the ball rebound. Problem 2: in an elastic head on collision with a stationary target particle, a moving particle...

Homework Statement A 4kg ball moves moving to the east with a speed of 3m/s has an elastic collision with a 2kg ball moving to the west with a speed of 4 m/s. What is the total momentum of the system after collision? Determine the velocities of each ball after collision.Homework Equations p =...

For the equation: contact stress = {(1 / (pi[((1-v1^2)/E1)) + ((1-v2^2)/E2))) ^ 0.5} * {((Fn/b) * (Sum (1/pi)))^0.5} Where Sum (1/pi) = [(1/p1) - (1/p2)] for concave shapes in contact with convex shapes Sum (1/pi) approaches 0 as the two radii get closer, however when the two radii...

I am trying to program the elastic collision response between a ball and an immovable obstacle (such as a rock with infinite mass). However I can't seem to figure out the angle at which the ball would bounce off of the object. Both objects are to be considered as circles, with their positions...

Homework Statement Two masses of m1 and m2 collide elastically on a horizontal, frictionless surface. m1 is four times the mass of m2, and m1 is originally moving in the positive x direction at 13.8 m/s while m2 is moving in the negative x direction at 10.6 m/s. After the collision, m2...

Homework Statement I have a linear elastic spring with spring constant E, The spring is mass less, and is held fixed at the left terminal and has a mass m attached on the right terminal. We can neglict gravitational forces. Find the natural oscillation when the tension sigma = E*epsilon...

Homework Statement A bug having a mass of 0.20g falls into a spider's web, setting it into vibration with a dominant frequency of 18 Hz. Find the corresponding spring constant. Homework Equations 1. f=\frac{1}{T} 2. \omega=2\pif 3. [natural angular frequency]...

Homework Statement A 0.50-kg ball that is traveling at 6.0 m/s collides head-on with a 1.00-kg ball moving in the opposite direction at a speed of 12.0 m/s. The 0.50-kg ball bounces backward at 14 m/s after the collision. Find the speed of the second ball after the collision. Homework...

Homework Statement A mass of 225 kg is hung from a metal cable of length 1.60m and diameter 8.20mm. This causes the cable to stretch by an amount 0.668mm. Calculate the Elastic Modulus of the metal. Homework Equations E=(F/A)/(change L / orig L) The Attempt at a Solution F =...

I'm just having a bit of trouble understanding when to use F=kx and when to use W=.5kx^2 . I understand that Hooke's law is for the spring force and elastic PE is obviously for work, but you could use either one of these equations to solve for, for example, k: When solving for the spring...

Homework Statement Homework Equations V1f = (m1 - m2 / m1 + m2) * V1i V2f = (2m1 / m1 + m2) * V1i .5mVi^2 + mgyo = .5mVi^2 + mgy1 The Attempt at a Solution V1 = (2gyo)^(1/2) = (2*9.8*.34)^(1/2) = 2.5815 m/s a) V1f = (.650 - 4.40 / .650 + 4.40) * 2.5815 = -1.917 m/s b) V2f = (2*.650 / .650...

Object 1 has a mass of 9.4 kg and is moving eastward with a velocity of 15.3 m/s. It collides with a stationary object. After the collision object 1 recoils with a velocity of -5.3 m/s What is the mass (in kg) of object 2? m2=35.9kg? I don't have time to type my work right now. But will...

Homework Statement (see attachment) The work the did gives the correct answer but i do not understand where a lot of that stuff came from! My first question about the work is how they derived 1/2[(m_1)((v_i)_1)^2] =m_1gh Homework Equations Below is the solution The Attempt at a...

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 A 5.5 kg object moving in the +x direction at 5.5 m/s collides head-on with a 2.5 kg object moving in the -x direction at 4.0 m/s. Find the final velocity of each mass for each of the following situations. (Take the positive direction to be +x.) The equation is elastic...

Homework Statement If the maximum tension in the Achilles tendon when the foot is sent down is 4.5 kN and the tendon's spring constant is 360 kN/M, calculate how much elastic energy is stored in it. Homework Equations F = kx Hookes Law: Energy = 1/2*k*x squared The Attempt at a Solution Got x...

Homework Statement Had to translate the original problem statement in order to post it here; sorry about the grammar. Block 1 has a mass m1=2.00kg, moving to the right (along the x-axis) with an initial velocity vi1=10.0 m/s. Block 2 has a mass m2=5.00kg and is moving in the same direction...

Homework Statement Two hard spheres collide elastically. Sphere 1 has a mass of 2 kg and an initial velocity of 3 m/s. Sphere 2 has a mass of 4 kg and is initially at rest. Sphere 1 collides head on with sphere 2 and comes to an immediate stop. Solve for the velocity of mass 2 using (a)...

Homework Statement A package of mass m is released from rest at a warehouse loading dock and slides down a 3.0m high frictionless chute to a waiting truck. Unfortunately, the truck driver went on a break without having removed the previous package, of mass 2m, from the bottom of the chute...

Homework Statement A 0.150-kg frame, when suspended from a coil spring, stretches the spring 0.050m. A 0.200-kg lump of putty is dropped from rest onto the frame from a height of 30.0m. mass of frame: mf mass of putty: mp height: h Homework Equations The Attempt at a Solution...

Homework Statement An object of mass 15kg going to the right with a speed of 3 m/s collisdes with a 10kg object at rest. if the collision is ocmpletely elastic, calculate the speed of the 10kg object after collision Homework Equations m1vli +m2v2i=m1vlf+m2v2f The Attempt at a...

Homework Statement Two balls of equal mass collide and stick together as shown in the figure. The initial velocity of ball B is twice that of ball A. (Take θ = 56°.) (a) Calculate the angle above the horizontal of the motion of mass A + B after the collision. (b) What is the ratio of the...

Homework Statement An elastic cord is 56 cm long when a weight of 73 N hangs from it but is 81cm long when a weight of 160 N hangs from it. What is the spring constant "k" of this elastic cord? Homework Equations mg=kx The Attempt at a Solution No idea... my teacher doesn't...

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...

Homework Statement I the center of mass reference frame, a particle with mass m1 and momentum p1 makes an elastic head on collision with a second particle of mass m2 and momentum p2=-p1. After the collision the first particles momentum is p1'. Write the total kinetic initial energy in terms...

Homework Statement In a collision a light object and a heavy object (elastic) which one has more KE? Does the answer depend on the initial speeds? Homework Equations Conservation of KE The Attempt at a Solution Since this is an elastic collision, KE is conserved. However, I was thinking...

Homework Statement This is an exam prep question Particle A has mass 3m and velocity i + 2j, it collides with particle B mass m velocity -i + j. Collision is elastic. After collision Particle A is observed to be moving along the +ve y-axis. Find the final speeds of the two particles.(two...

Hi, here's my problem. A particle of m1 and initial speed v0 strikes a stationary particle of mass m2, and scatters at 30 degrees to its original direction with speed v0/3. Find the angle, in degrees, between the directions of the two particles after the collision. I found that the...

Hi, here's my problem. A particle of m1 and initial speed v0 strikes a stationary particle of mass m2, and scatters at 30 degrees to its original direction with speed v0/3. Find the angle, in degrees, between the directions of the two particles after the collision. I found that the...

Homework Statement A spring of rest length L_0 (no tension) is connected to a support at one end and has a mass M attached at the other. Neglect the mass of the spring, the dimension of the mass M, and assume that the motion is confined to a vertical plane. Also, assume that the spring only...

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...

If an infinitely large rock is traveling infinitesimally slow along a straight line and an infinitesimally small rock is traveling infinitely fast towards the infinitely large rock along the same axis, is the collision elastic?

Who can explain me why we need to find an average force in proving theorem work=elastic potensial energy?

Homework Statement A body of mass, m makes a head on perfectly elastic collision with a body of mass, M initially at rest. Show that \frac{\triangle E}{E_o}=\frac{4(\frac{M}{m})}{(1+\frac{M}{m})^2} Homework Equations The Attempt at a Solution Momentum: mu_1=mv_1+Mv_2...

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...

Hello. As a good mathematician, I'm having troubles reading some constants for a PDE. I'm modelling an elastic rod using the equation \rho A U_{tt} - N U_{xx} + E I U_{xxxx} = 0, where "\rho is the beam density, A and I are the area and moment of inertia of the beam cross section...

Homework Statement ok so I was trying to figure out how to derive the formula for true elastic collision and I came up with the following but I want to make sure I didn't make a mistake.Homework Equations (K1+K2)before=(K1+K2)after 1/2 m1 v1^2 + 1/2 m2 u1^2 = 1/2 m1 v2^2 + 1/2 m2 u2^2 m1v1 +...

From http://star.tau.ac.il/QUIZ/ website: This problem can also be found on page 32 http://kvant.mirror1.mccme.ru/1990/05/resheniya_zadach_f1206_-_f1212.htm , but it's in Russian so might be hard to read... Can someone explain this solution? Is it always true that F=Fo/2? Don't we need...

Homework Statement This is actually a lab- A ball projectile is fired from a spring gun into a free-hanging pendulum, the pendulum catches the ball and travels a certain vertical measurement. #1-Is this an elastic equation #2-Calculate the kinetic energy the instant before and the...

Hey guys I am completely stuck and have no idea where to start. Help? Homework Statement Car A and Car B collide in an elastic collision. Use the data in the table shown to calculate the maximum compression of the car bumpers. The spring constant of the car bumper is 60 000 N/m. Assume...

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...

Suppose we have a necklace made of a conducting material. We join the two ends and leave it on a frictionless non-conducting table. Then we charge it negatively. What is the equilibrium shape of the necklace? The answer to this is probably a circle. I am actually looking for the differential...

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...

Remember those executive toys that were popular in the '80s? You have a steel ball on the end of a thin rod hitting another steel ball that is stationary. As near as we can see, the target ball gets all the momentum of the moving ball, and the moving ball stops dead - close to 100% transfer. But...

Now when the spring recoils, it loses its elastic potential energy to the dart. If it loses its energy how does it come back to its original shape. I'm thinking it is the elastic potential energy that is used to make the coil come back to its orginal shape. Also let's say a spring was compressed...

1. Two part question. An elastic cord with cross sectional area 4.00mm^2 needs a force of 3.6N to increase its length by 12% Part One- Find the Youngs Modulus of Elasticity Part Two- The unstretched cord is 0.80m long. Find the energy stored in this strain. [b]2. Homework Equations ...

Hi, If I have two 1 kg masses that are going to hit each other. Mass A is traveling at 10 ms and Mass B is at rest but I wish to cause for an Inelastic Collision. How do I achieve this? As best I can make of it, I would require a buffer between mass A & B... and I would expect this buffer...

As a complete amature, I have a question about gravity and spacetime. Gravity is seen as a distortion of spacetime and we have the traditional view of a mass resting on a rubber sheet, distorting the space around it. But most masses are moving in space - usually fast or very fast. Is there a...