Need help with a question about momentum

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In summary, the momentum of a proton can be equated to the energy of a photon by using the equation P=E/C, but it is important to use consistent units, such as SI units for both energy and speed. Once the units are consistent, the velocity of the proton can be solved for using the mass of the proton.
  • #1
stayfocused
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Homework Statement



How fast would a proton have to travel to have the same momentum as a 6.0-MeV photon

Homework Equations


P= E / C


The Attempt at a Solution


P= E / C
= 6.0-MeV / 3.00x108m/s
 
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  • #2
stayfocused said:

Homework Statement



How fast would a proton have to travel to have the same momentum as a 6.0-MeV photon

Homework Equations


P= E / C


The Attempt at a Solution


P= E / C
= 6.0-MeV / 3.00x108m/s
Welcome to Physics Forums.

You need to be careful with your units here, your mixing natural units and S.I. units. You need to pick a system and stick to it.
 
  • #3
stayfocused said:

Homework Statement



How fast would a proton have to travel to have the same momentum as a 6.0-MeV photon

Homework Equations


P= E / C


The Attempt at a Solution


P= E / C
= 6.0-MeV / 3.00x108m/s


What's the problem here? Have you even put in any thought to it?

Yes P = E/c but if you're going to use that you need to make sure your E and c are in SI - that is - m/s and J

Once you find that you can equate that with the momentum of a proton - mv. You can look up the mass of the proton, and solve for v
 
  • #4
That was my problem, I hadn't realized that i had the different units. Thank you!
 

1. What is momentum?

Momentum is a physics concept that describes the quantity of motion an object has. It is a product of an object's mass and velocity, and it is a vector quantity, meaning it has both magnitude and direction.

2. How is momentum related to Newton's laws of motion?

Momentum is directly related to Newton's second law of motion, which states that the net force acting on an object is equal to the object's mass multiplied by its acceleration. In other words, a change in momentum is equal to the net force applied to an object.

3. What is the equation for calculating momentum?

The equation for calculating momentum is p = mv, where p is momentum, m is mass, and v is velocity. The unit for momentum is kilogram meters per second (kg m/s).

4. How does momentum affect collisions?

In a collision, the total momentum of the system before and after the collision must be equal. This is known as the law of conservation of momentum. Momentum also determines the direction and speed of the objects after the collision.

5. How is momentum different from kinetic energy?

Momentum and kinetic energy are both concepts related to motion, but they are not the same. While momentum takes into account an object's mass and velocity, kinetic energy only considers an object's mass and speed. Additionally, momentum is a vector quantity, while kinetic energy is a scalar quantity.

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