   Chapter 28, Problem 70PE

Chapter
Section
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=1.67×1027kg

Total energy of photon, E=50MeV

Formula used:

Formula to calculate the kinetic energy of the photon is,

KErel=(γ1)mphc2    ...... (I)

Calculation:

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

E=γmphc2

Simplify the equation in terms of γ.

γ=Emphc2

Substitute 50.0MeVfor E, 1.67×1027kgfor mph, and 3×108m/sfor cin the above expression.

γ=50.0MeV(1.67×1027kg)(3×108m/s)2=50.0MeV((1.67×1027)(3×108)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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