To Show: If two particles have equal kinetic energies, the magnitude of their momenta are equal only if they have the same mass.
Explanation of Solution
Formula used:
The kinetic energy of a particle in terms of its momentum is given by
Here,
Calculation:
The kinetic energy of two particles is given by
Equate these kinetic energies as the kinetic energies of two particles are given as equal.
The magnitude of the momenta of particles are equal.
So,
Conclusion:
Hence, if two particles have equal kinetic energies, the magnitude of their momenta are equal only if they have the same mass.
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Chapter 8 Solutions
Physics For Scientists And Engineers
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