Explaining Newton's Cradle: Proving Conservation of Momentum & KE
im working on a mathematical model of Newton's cradle. I am trying to explain mathematically why, when two balls are released, two balls pop up the other...
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In summary, the conversation discusses a mathematical model of Newton's cradle and the attempt to explain why two balls pop out on the other side when two balls are released. The formula for conservation of momentum and kinetic energy is presented, and it is suggested that for conservation of momentum to occur, the average velocity of the n balls emerging from the left must be 2v/n. The conversation then shifts to finding a way to prove that n must equal 2 for this result to be true, and alternative solutions for when N balls are involved.

Related to Explaining Newton's Cradle: Proving Conservation of Momentum & KE

What is Newton's Cradle?

Newton's Cradle is a popular physics demonstration that consists of a series of suspended metal balls that swing back and forth. It is used to demonstrate the principles of conservation of momentum and kinetic energy.

How does Newton's Cradle work?

The balls in Newton's Cradle are connected by strings or wires and are initially at rest. When one ball is pulled back and released, it collides with the next ball, transferring its momentum and causing the next ball to swing forward. This process continues until the last ball swings forward and then back, demonstrating conservation of momentum and kinetic energy.

What is conservation of momentum?

Conservation of momentum is a fundamental principle in physics that states that the total momentum of a closed system remains constant. This means that in a system where there are no external forces acting, the total momentum before an event is equal to the total momentum after the event.

What is conservation of kinetic energy?

Conservation of kinetic energy is another fundamental principle in physics that states that the total kinetic energy of a closed system remains constant. In other words, the total kinetic energy before an event is equal to the total kinetic energy after the event, as long as there are no external forces acting on the system.

What is the significance of Newton's Cradle?

Newton's Cradle is a simple and visual way to demonstrate the principles of conservation of momentum and kinetic energy. It is often used in educational settings to help students understand these concepts. Additionally, it has practical applications in engineering and technology, such as in the design of impact-absorbing materials.