Inelastic collision to angular motion

In summary, an inelastic collision is a type of collision where kinetic energy is not conserved and is converted into other forms of energy. It can impact angular motion by transferring momentum between objects, resulting in changes in rotational speed or direction. Unlike an elastic collision where kinetic energy is conserved, an inelastic collision does not conserve kinetic energy and some energy is lost during the collision. However, momentum is still conserved in an inelastic collision, meaning the total momentum before and after the collision is the same. Real-life examples of inelastic collisions include car crashes and bouncing basketballs, which can result in changes in angular motion due to the conversion of kinetic energy into other forms of energy.
  • #1
Rubber Band
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http://img74.imageshack.us/img74/7216/physec7.png

m1v1+m2v2 = (m1+m2)v

IMPACT: Total Energy = 1/2mv^2
POINT P: 1/2mv^2+mgh = Total Energy at Impact
 
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Inelastic collisions involve two objects colliding and sticking together, resulting in a loss of kinetic energy. This loss of energy can be seen in the equation m1v1+m2v2 = (m1+m2)v, where the total momentum before the collision is equal to the total momentum after the collision. The loss of kinetic energy is also evident in the impact point, where the total energy is equal to 1/2mv^2, which is less than the total energy at point P, where the potential energy (mgh) is added.

This inelastic collision can also result in the objects moving in a new direction, causing a change in angular motion. This is because the objects now have a new combined mass and velocity, resulting in a new angular momentum. The change in direction can be seen in the image provided, where the objects initially have a linear motion but after the collision, they begin to move in a circular motion.

In summary, an inelastic collision can result in a loss of kinetic energy and a change in angular motion due to the objects sticking together and moving in a new direction. This concept is important in understanding the conservation of momentum and energy in collisions and the relationship between linear and angular motion.
 

FAQ: Inelastic collision to angular motion

What is an inelastic collision?

An inelastic collision is a type of collision in which kinetic energy is not conserved. This means that the total kinetic energy of the system before the collision is not equal to the total kinetic energy after the collision. In an inelastic collision, some of the kinetic energy is converted into other forms of energy, such as heat or sound.

How does an inelastic collision impact angular motion?

Inelastic collisions can cause a change in angular motion by transferring momentum between objects. This can result in a change in rotational speed or direction of an object, depending on the angle and point of impact.

What is the difference between an inelastic collision and an elastic collision?

An elastic collision is one in which kinetic energy is conserved, meaning the total kinetic energy of the system before and after the collision is the same. In contrast, an inelastic collision does not conserve kinetic energy and some energy is lost during the collision.

How is momentum conserved in an inelastic collision?

In an inelastic collision, momentum is still conserved even though kinetic energy is not. This means that the total momentum of the system before the collision is equal to the total momentum after the collision. This can result in changes in the individual momentums of the objects involved.

What are some real-life examples of inelastic collisions and their impact on angular motion?

One example of an inelastic collision that impacts angular motion is a car crash. When two cars collide, some of the kinetic energy is converted into other forms of energy, such as heat and sound, and the cars may experience changes in rotational speed and direction. Another example is a basketball bouncing on the ground, where some of the kinetic energy is lost as the ball deforms and changes direction, resulting in changes in its angular motion.

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