What Happens to Energy When a Ball Bounces off a Wall?

In summary, the change in momentum of a ball when it bounces back at the same speed after being rolled into a wall is zero. This is due to the conservation of energy, where the initial energy is equal to the final energy. In a similar problem, when a bow is pulled back and held in place, the initial potential energy is converted into kinetic energy when the archer releases the bow, causing the arrow to move with a certain velocity.
  • #1
yamugushi
23
0
Change in momentum of a ball

Please note, instead of making a new thread I just edited my new question into this thread

Homework Statement


A ball is rolled into a wall and bounces back at the same speed, the change in momentum is?

Homework Equations


Ein = Eout

The Attempt at a Solution


I thought it was m(v) but I got it wrong (doing test corrections ATM)
 
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  • #2
Conservation of energy.

Where does that 100J go when the bow is pulled back and held in place? After the archer releases, where is the energy at the instant when the arrow leaves the bow, and how does that help you estimate its velocity at that instant?
 
  • #3
JaWiB said:
Conservation of energy.

Where does that 100J go when the bow is pulled back and held in place? After the archer releases, where is the energy at the instant when the arrow leaves the bow, and how does that help you estimate its velocity at that instant?
Oh, I get it, set Ep
to Ek
I was looking at W - P equations
 

FAQ: What Happens to Energy When a Ball Bounces off a Wall?

What is the difference between momentum and energy?

Momentum is a property of a moving object that is determined by its mass and velocity, while energy is the ability to do work or cause change.

How are momentum and energy related?

According to the law of conservation of momentum, the total momentum of a system remains constant unless acted upon by an external force. This means that as an object gains or loses momentum, it must also gain or lose energy.

Can an object have momentum without having energy?

No, an object cannot have momentum without also having energy. This is because an object's momentum is directly related to its energy through its velocity.

How do you calculate momentum and energy?

Momentum (p) can be calculated by multiplying an object's mass (m) by its velocity (v): p = m * v. Energy (E) can be calculated using the equation E = 1/2 * m * v^2, where m is the mass and v is the velocity of the object.

What are some real-life examples of momentum and energy?

Some real-life examples of momentum and energy include a moving car, a swinging pendulum, and a bouncing ball. In each of these cases, the objects have both momentum and energy due to their motion.

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