Chapter 28, Problem 70PE

### 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

# Unreasonable ResultsA proton has a mass of 1.67 × 10 − 27 kg. A physicist measures the proton's total energy to be 50.0 MeV. (a) What is the proton's kinetic energy? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?

To determine

(a)

The kinetic energy of the photon.

Explanation

Given:

Mass of photon, mph=1.67Ã—10âˆ’27â€‰kg

Total energy of photon, E=50â€‰MeV

Formula used:

Formula to calculate the kinetic energy of the photon is,

â€ƒâ€ƒKErel=(Î³âˆ’1)mphc2â€ƒâ€ƒâ€ƒâ€ƒ...... (I)

Calculation:

Calculate the energy of the photon using mass-energy relation.

â€ƒâ€ƒE=Î³mphc2

Simplify the equation in terms of Î³.

â€ƒâ€ƒÎ³=Emphc2

Substitute 50.0â€‰MeVfor E, 1.67Ã—10âˆ’27â€‰kgfor mph, and 3Ã—108â€‰m/sfor cin the above expression.

â€ƒâ€ƒÎ³=50.0â€‰MeV(1.67Ã—10âˆ’27â€‰kg)(3Ã—108â€‰m/s)2=50.0â€‰MeV((1.67Ã—10âˆ’27)(3Ã—108)21

To determine

(b)

The unreasonable fact obtained from the calculated kinetic energy.

To determine

(c)

The assumption that is unreasonable or inconsistent.

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