What is the momentum of a proton moving at 0.7c?

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Homework Help Overview

The problem involves calculating the momentum of a proton moving at a relativistic speed of 0.7c, using its rest mass and relevant equations from relativistic physics.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of the energy-momentum relation and the Lorentz factor in calculating momentum. There are attempts to verify calculations and identify potential arithmetic errors.

Discussion Status

Some participants agree on the method used for the calculation, while others express discrepancies in their results, prompting requests for more detailed calculations to clarify the differences.

Contextual Notes

Participants are working with the assumption that the equations of relativistic momentum apply, and there is a focus on ensuring accuracy in arithmetic calculations.

ZedCar
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Homework Statement



A proton of rest mass 1.67 x 10^-27 kg is moving at a constant speed of 0.7c

What is it's momentum?

Homework Equations


The Attempt at a Solution



Using E = γmc^2 I obtained;

E = 2.10 x 10^-10 JThen with;

E^2 = (pc)^2 + (mc^2)^2 and solving for p I got;

p = 8.47 x 10^-15
 
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ZedCar said:

Homework Statement



A proton of rest mass 1.67 x 10^-27 kg is moving at a constant speed of 0.7c

What is it's momentum?


Homework Equations





The Attempt at a Solution



Using E = γmc^2 I obtained;

E = 2.10 x 10^-10 J
I agree.

Then with;

E^2 = (pc)^2 + (mc^2)^2 and solving for p I got;

p = 8.47 x 10^-15
That's the correct method, but I'm getting something quite different. It is probably just an arithmetic mistake. Can you show more details of this calculation?
 
Redbelly98 said:
I agree.That's the correct method, but I'm getting something quite different.

Are you getting 4.88 x 10^-19 ?
 
Yes, with units of kg*m/s.
 

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