What is the expression for elastic collision in one dimension?
What is the expression for elastic collision in one dimension?
When bodies has the same mass i.e., m1 = m2, The equations (x) and (xi) show that in one dimensional elastic collision, when two bodies of equal mass collide after the collision their velocities are exchanged….1 Answer.
| Mass | Initial velocity | Final velocity |
|---|---|---|
| Mass m2 | u2 | v2 |
What is elastic collision derivation?
Collisions are called elastic collisions if, in addition to momentum conservation, kinetic energy remain conserved too. To derive the elastic collision equations we make use of the Momentum Conservation condition and Kinetic Energy Conservation condition.
What is elastic and inelastic collision in one dimension?
We have seen that in an elastic collision, internal kinetic energy is conserved. An inelastic collision is one in which the internal kinetic energy changes (it is not conserved). This lack of conservation means that the forces between colliding objects may remove or add internal kinetic energy.
What is the necessary condition for elastic collision one dimensional?
Elastic One Dimensional Collision Elastic collisions can be achieved only with particles like microscopic particles like electrons, protons or neutrons. When masses of both the bodies are equal then generally after collision, these masses exchange their velocities.
What is the equation needed for collision?
m1 • Delta v1 = – m2 • Delta v2 This equation claims that in a collision, one object gains momentum and the other object loses momentum. The amount of momentum gained by one object is equal to the amount of momentum lost by the other object.
How do you find the elastic collision equation?
An elastic collision is a collision where both the Kinetic Energy, KE, and momentum, p are conserved. In other words, it means that KE0 = KEf and po = pf. When we recall that KE = 1/2 mv2, we will write 1/2 m1(v1i)2 + 1/2 m2(vi)2 = 1/2 m1(v1f)2 + 1/2 m2 (v2f)2.
How do you find momentum after an elastic collision?
Multiply the second object’s mass by its velocity. For example, if it weighs1,000 and has a velocity of -30 meters per second, then its momentum will be 30,000 kg meters per second. Add the two velocities together to determine which way the objects will move after collision.
What does elastic collision in two dimensions mean?
An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same. A useful special case of elastic collision is when the two bodies have equal mass, in which case they will simply exchange their momenta.
What are the conditions for elastic collision?
1 Answer
- In an elastic collision,
- (a) Total momentum is conserved, i.e., total final momentum is equal to the total initial momentum.
- (b) Total mechanical energy is conserved, i.e., total final energy is equal to the total initial energy.