Elastic Definition and 1000 Threads

Ok.. So basically 100kg object V100 is coming from left to right at 20m/s and 50kg object V50 is coming from right to left at 35m/s and make collision. They get pushed away like on picture. I need to find V50 and V100 but from the looks of it, I need to find angle theta to find an answer. How...

Hi guys, I've been thinking on a problem for a while which really bothers me. I've been trying to mathematically solve the following problem: A train approaches the station at a velocity of V=50 m/s. Then a tennis ball is thrown with a velocity U=30 m/s, against the approaching train...

Homework Statement I was given the following problem and I an trying to discover if it can be answered by transforming to the center of mass frame and then transforming back. "Consider a perfectly elastic collision between a particle moving with kinetic energy 10 times its rest mass energy...

Hi All, I am reading the seminal paper by Eshelby on the elastic energy-momentum tensor, which I attach for your convenience. It is all beautiful but equation 4.4 at the beginning. He considers a surface S in the undeformed configuration of a body. The surface is translated by a vector u to a...

From pressure-volume curve of the lung and chest wall (attached photo), I don't understand why would the elastic recoil pressure of the lung is initially negative then becomes positive above 30% of vital capacity when the lung volume increases from residual volume? What I initially thought...

Homework Statement A 0.2 kg block, moving at 6 m/s, is catching up and colliding elastically with a 0.6 kg block that is moving along the same line and in the same direction. Find the velocities of the ball after this one-dimensional collision. Homework Equations Conservation of...

A 1689 kg car collides head on with a 2000 kg truck. The collision is elastic. If the velocity of the truck is 17km/h in the same directions as the car's initial velocity, what is the initial speed of the car in km/h? I'm getting an answer but doesn't seem to make sense. So I'm...

Homework Statement A small ball of mass, ##m_1## is aligned above a larger ball of mass ##m_2=0.63kg##, with a slight seperation. The two are dropped simultaneously from a height ##h=1.8m##(Assume the radius of each ball is negligible relative to h.) (a) If the larger ball rebounds elastically...

Homework Statement I had a question regarding the elastic potential energy of a spring to the gravitational force of a cart. If you had a spring that was attached to the top of the inclined plane and to a cart with the cart moving downhill on an incline that was at an angle, how would...

Suppose that a mass M1 is moving with speed V1 and collides with mass M2 which is initially at rest. After the elastic collision they make, both momentum and kinetic energy are conserved. m_{1}v_{1f} + m_{2}v_{2f} = m_{1}v_{1i} \frac{1}{2}m_{1}||v_{1i}||^{2}=...

A 100gram block is attached to the end of a spring on a frictionless table that has a spring constant of 20N/m. The other end of the spring is attached to the wall. A 20g ball is thrown at the block with a velocity of 5.0m/s. If the collision is perfectly elastic, what is the ball's speed...

Homework Statement Hello everybody , a/There's an elastic collision between a photon of energy E and an electron at rest. After the collision, the energy of the photon is E/2 and propagates in a direction making an angle theta=60° with the initial direction. Find E. What kind of photon is this...

Homework Statement A 10.0 g marble slides to the left with a velocity of magnitude 0.400 m/s on the frictionless, horizontal surface of an icy New York sidewalk and has a head-on, elastic collision with a larger 30.0 g marble sliding to the right with a velocity of magnitude 0.200 m/s. Find...

Homework Statement A billiard ball moving at 5.40 m/s strikes a stationary ball of the same mass. After the collision, the first ball moves at 4.48 m/s at an angle of 34.0° with respect to the original line of motion. Assuming an elastic collision (and ignoring friction and rotational...

Hi, When we find out the deflection of beam, the factors considered are its geometry (moment of inertia) and young's modulus (E) of the material. As per text Hook's law 'E' is constant only till the elastic limit of the material. Assuming that the stress induced crosses the elastic limit, 'E'...

It is generally well known that the elastic modulus of most materials become larger with decreasing size. This could be due to decreased number of dislocations, surface effects etc. Does anyone know how exactly does this increase? Considering a ceramic or an oxide, how does the Elastic modulus E...

Homework Statement A 2kg block is resting on a frictionless table. It is hit, head on, by a 1kg block heading at 4 m/s. The larger block is sitting 3m from the edge of a 5m long table. The collision happens with the smaller block's distance being 2m from the table and the larger blocks d =...

English is not my native language. My question is about what happens when we throw a ball on the floor. I understand why the ball bounces off it. But I have a question, I wonder why almost all the kinetic energy get back to the ball, rather than lost in the land, that is, why this energy is...

Homework Statement Ground-state hydrogen atom with 12 ev kinetic energy collides head-on with another ground-state hydrogen atom at rest. Using principles of conservation of energy and momentum, show that an inelastic collision cannot occur. Therefore the collision must be elastic...

Assume that a mass is attached to an elastic band and then allowed to oscillate. Would the formula for the period of oscillation be that as the same of the formula for the period of the oscillation for a spring. T=2∏(√m/k) ?

Homework Statement Hi! I have found an interesting statement. It says, that if we have a system of two masses and a wall (all collisions will be elastic ones) with one mass (lets label it as 1) trapped between the other mass (2) and the wall and if there is no friction, then if ratio of...

A linear elastic strip of natural length a and stiffness k lies between x = 0 and x = a. Each point on the strip is transformed by a differentiable, monotone increasing function f. a) Characterise the change in potential energy. b) Given the boundary conditions f(0) = 0 and f(a) = b, choose f...

(1)Block A of mass mA = 1kg is moving at velocity +v (from left to right) towards block B of mass mB = 2kg which is at rest. To the right of block B there is block C. It is at rest and its mass is mC = 1kg. Find the ultimate velocities of all three masses assuming all collisions are elastic...

Homework Statement A cue ball with speed U hits a stationary red ball of equal mass. The collision is elastic (ie no energy is converted into other forms). After the collision the cue ball is moving at an angle θ to its original path. Find the final speed of the cue ball. Homework...

Homework Statement Two identical ideal massless springs have unstretched lengths of 0.25m and spring constants of 700N/m. The springs are attached to a small cube and stretched to a length L of 0.30m. One spring on the left and one on the right. An external force P pulls the cube a distance of...

So the way we learned to solve elastic collisions is to use the center of mass reference frame. I calculated that the COM is moving at v=1.66 m/s relative to the lab frame. Next I calculated the velocity of the white ball to be +1.66 m/s relative to the COM frame and the black ball to have...

Homework Statement Consider a 2-D elastic collision between two masses. The first mass is moving at initial speed v0 towards the second mass. The second mass is initially at rest. Mass m1 = 0.1 kg and mass m2 = 0.2 kg. The first mass recoils at 30° above the horizontal at speed v1, and the...

I understand that in elastic scattering, the incident particle leaves the interaction with the same magnitude of momentum it had initially. But, can there also be a target particle recoil in this case? If the kinetic energy of the incident particle is conserved, how does the target particle...

Homework Statement A 5.0 kg block with a speed of 8.0 m/s travels 2.0 m along a horizontal surface where it makes a head-on, perfectly elastic collision with a 15.0 kg block which is at rest. The coecient of kinetic friction between both blocks and the surface is 0.35. How far does the 15.0...

I am participating in the IYPT and i have encountered a question on elastic space which relates to gravity wells. I need to get a proper hypothesis that can be investigated within realistic parameters. I unable to get any new ideas because i am relatively new to the subject and don't have much...

I am participating in the IYPT and i have encountered a question on elastic space which relates to gravity wells. I need to get a proper hypothesis that can be investigated within realistic parameters. I unable to get any new ideas because i am relatively new to the subject and don't have much...

Happy new year everyone, if I were to bungee jump off a building height H using a cord with an elasticity of 150 N/m 15 m long when it isn't stretched that is tied to a rope of length L (does not stretch), and I have a mass of M and the cord stretches X meters. Gravity is pulling at 10 m/s^2. I...

Hi guys, this is the equation of relative velocities in elastic collisions: Va1x-Vb1x = -(Va2x-Vb2x) I know that this means that the relative velocity of A to B before an elastic collision is the same in magnitude but opposite in direction after the collision. However, this applies only in the...

Homework Statement If a Mass let's say a Ball Bearing A with a velocity of 2ms-1 and a mass of 2Kg hits two other ball bearing B & C which is not moving with ball bearing B & C each has a mass of 1kg each. What will happen to ball bearing B & C? Please see attached picture i have the question...

Block 1 moves with speed of 10m/s to right. It hits block 2 which has twice the mass of block 1 and speed of 5m/s to right. compute the magnitude and direction of block 1 for a perfectly elastic collision. solution: u1 = 10m/s u2 = 5m/s m1v1 + m2v2 = m1u1 + m2u2 ----> v1 + 2v2 = u1 + 2u2 ...

Block 1 moves with speed of 10m/s to right. It hits block 2 which has twice the mass of block 1 and speed of 5m/s to right. compute the magnitude and direction of block 1 for a perfectly elastic collision. solution: u1 = 10m/s u2 = 5m/s m1v1 + m2v2 = m1u1 + m2u2 ----> v1 + 2v2 = u1 + 2u2...

Homework Statement A 2.0 kg ball moving with a speed of 3.0 m/s hits, elastically, an identical stationary ball. If the first ball moves away with an angle 30 degrees to the original path, determine the speed of the first ball after the collision, and the speed and direction of the second...

Homework Statement Two carts of equal mass (15 Kg) have a head on elastic collision. The first cart has a velocity of 18.5 m/s to the right, and the second has a velocity of 12 m/s to the left. What are the velocities of the two carts after the collision? Homework Equations Since it is...

Hey guys! I am currently developing a simulation that involves sphere (or if you like particle) collision in 3D space. And I want it to be accurate (on the level of classic mechanics). The algorithm to do the job would take in the velocities, masses and relative position (aka line of...

Hi, Homework Statement A square frame with a thin crust/layer of liquid with surface tension γ is given. Into the plane of the frame an elastic wire of circular shape with radius r_0 is inserted. The thin crust/layer of liquid is then burst (by pricking) and as a result of the force of...

[b]A hockey player with a mass of 30.0 kg is initially moving at 2.00 m/s to the east. He intercepts and catches a puck initially moving at 35.0 m/s at an angle of θ = 60 degrees. Assume that the puck's mass is 0.18 kg and the player and the puck form a single object for a few seconds at the...

I'm researching CNTs and am currently describing Graphene as I lead from carbon atoms to nano-tubes. I've come across this: "The force-displacement behavior is interpreted within a framework of nonlinear elastic stress-strain response, and yields second- and third-order elastic stiffnesses...

Homework Statement A billiard ball ( mass = 10kg, initial velocity is 5 m/s) is launched along x-axis at a stationary billiard ball ( mass = 5kg). After collision, the first ball goes off at 30 degree angle above x-axis and 2nd ball goes off at 45 degree angle below x-axis. Calculate the...

Homework Statement Homework Equations 1/2m1v12 + 1/2m2v22 = 1/2m1v1f + 1/2m2v2f m1v1 + m2v2 = m1v1f + m2v2f v1 - v2 = -(v1f - v2f) The Attempt at a Solution So I solved the momentum of conservation for the final velocity of object 1. I then plug that equation into the third...

Two titanium spheres approach each other head-on with the same speed and collide elastically After the collision, one of the spheres, whose mass is 300 g, remains at rest. What is the mass of the other sphere? What i did: m1v1 + m2v2 = m1u1 - m2u2 v1 = 0 b/c at rest m2v2 = m1u1 - m2u2 m2v2...

conservation of momentum, elastic collision, find other mass? help! Two titanium spheres approach each other head-on with the same speed and collide elastically After the collision, one of the spheres, whose mass is 300 g, remains at rest. What is the mass of the other sphere? What i did...

Homework Statement The figure below shows a thin, uniform bar whose length is L and mass is M and a compact hard sphere whose mass is m. The system is supported by a frictionless horizontal surface. The sphere moves to the right with velocity , and strikes the bar at a distance 1/4L from the...

Homework Statement http://postimage.org/image/j2ccrtjp1/ Here is a scan of my work. The problem is on the scan. Just trying to derive the velocity of the target in an elastic collision, as sketched in the image... Can't seem to find the problem for the life of me.

Homework Statement Two nuclei make a head-on elastic collision. One nucleus (mass m) is initially stationary. The other nucleus has an initial velocity (v) and a final velocity of (-v/5). What is the mass of this nucleus? Homework Equations conservation of momentum...

Homework Statement A 200 g rubber ball is tied to a 1.0 m long string and released from rest at angle θ. It swings down at the very bottom has a perfectly elastic collision with a 1.0 kg block. The block is resting on a frictionless surface and is connected to a horizontal 20 cm long spring of...