Chapter 28, Problem 40PE

### College Physics

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

Chapter
Section

### College Physics

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

# Find the velocity of a proton that has a momentum of 4.48 × − 10 − 19   kg ⋅ m / s .

To determine

The velocity of the proton.

Explanation

Given info:

• The momentum of the proton is 4.48â€‰Ã—â€‰10âˆ’19â€‰kgms-1.

Formula used:

Formula to find the relativistic momentum is,

â€ƒâ€ƒpâ€‰=â€‰m0v1âˆ’v2c2

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,

â€ƒâ€ƒp2â€‰=â€‰m2v21âˆ’v2c2p2=â€‰â€‰m2v2c2c2âˆ’v2v2=â€‰p2c2m2c2+p2

Calculation:

Substituting the given values, we get,

â€ƒâ€ƒv2=â€‰(4.48â€‰Ã—â€‰10âˆ’19â€‰kgms-1)2Ã—(3Ã—108ms-1)2(1

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