# Elastic Collision between ball and pivoted rod

• erisedk
In summary, an elastic collision is a type of collision where two objects collide and bounce off each other without losing any kinetic energy. Momentum is conserved in an elastic collision because the total momentum of the system before the collision is equal to the total momentum after the collision. Factors such as mass, velocity, and angle can affect the outcome of an elastic collision between a ball and a pivoted rod. The coefficient of restitution, which measures the elasticity of a collision, is equal to 1 in an elastic collision and decreases in less elastic collisions. While there is no loss of kinetic energy in an elastic collision, it is possible for energy to be transferred in the form of rotational energy if the ball hits the rod at an angle.

## Homework Statement

This is a solved problem--
http://web.mit.edu/8.01t/www/materials/InClass/IC_Sol_W13D1-10.pdf

## The Attempt at a Solution

In the solution, they conserve energy and angular momentum. Can I conserve linear momentum? Also, can I use coefficient of restitution (as e=1)?

I think we can not conserve linear momentum because if we consider rod and ball as a system then an external force acts on it(at P). But we can use e=1 here.

## 1. What is an elastic collision?

An elastic collision is a type of collision where two objects collide and bounce off each other without losing any kinetic energy. This means that the total kinetic energy of the system remains constant before and after the collision.

## 2. How is momentum conserved in an elastic collision?

Momentum is conserved in an elastic collision because the total momentum of the system before the collision is equal to the total momentum after the collision. This means that the sum of the momenta of the two objects remains constant.

## 3. What factors affect the outcome of an elastic collision between a ball and a pivoted rod?

The outcome of an elastic collision between a ball and a pivoted rod can be affected by a few factors, such as the mass and velocity of the ball and the length and mass of the rod. The angle at which the ball hits the rod can also play a role in the outcome.

## 4. How is the coefficient of restitution related to an elastic collision?

The coefficient of restitution is a measure of the elasticity of a collision. In an elastic collision, the coefficient of restitution is equal to 1, meaning that the objects bounce off each other with no loss of kinetic energy. This value decreases for less elastic collisions.

## 5. Can an elastic collision between a ball and a pivoted rod result in a transfer of energy?

Yes, an elastic collision between a ball and a pivoted rod can result in a transfer of energy. This can happen when the ball hits the rod at an angle, causing the rod to rotate and transfer some of the ball's kinetic energy into rotational energy.