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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

What is the velocity of an electron that has a momentum of 3.04 × 10 21 kg m / s ? Note that you must calculate the velocity to at least four digits to see the difference from c.

To determine

The velocity of the electron.

Explanation

Given info:

  • The momentum of the electron is 3.04×1021kgms-1.

Formula used:

Formula to find the relativistic momentum is,

  p=m0v1v2c2

Here, vis the velocity of the electron, m0is the mass of the electron and cis the speed of light.

Rearranging the equation to find the expression for v,

  p2=m2v21v2c2p2=m2v2c2c2v2v2=p2c2m2c2+p2

Calculation:

Substituting the given values, we get,

  v2=(3.04×1021kgms-1)2×(3×108ms-1)2(9

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