Matter and Interactions
Matter and Interactions
4th Edition
ISBN: 9781118875865
Author: Ruth W. Chabay, Bruce A. Sherwood
Publisher: WILEY
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Chapter 6, Problem 1Q
To determine

To show that the units of p22m and mc2 are joules.

Expert Solution & Answer
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Answer to Problem 1Q

It is showed that the units of p22m and mc2 are joules.

Explanation of Solution

Write the equation for momentum of a particle.

  p=mv        (I)

Here, p is the momentum, m is the mass of the particle and v is the speed of the particle.

Put the above equation in p22m .

  p22m=(mv)22m=12mv2

The unit of m is kg and the unit of v is m/s.

Replace the variables in the above equation by corresponding units.

  p22m=(kg)(m/s)2=(kgm/s2)(m)=Nm=J

The unit of c is m/s.

Replace the variables in mc2 by the corresponding units.

  mc2=(kg)(m/s)2=(kgm/s2)(m)=Nm=J

Conclusion:

Thus, it is showed that the units of p22m and mc2 are joules.

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Chapter 6 Solutions

Matter and Interactions

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