Concept explainers
(a)
The magnitude of momentum the particle
(a)
Answer to Problem 28P
The magnitude of momentum the particle
Explanation of Solution
Write the expression for the momentum.
Here,
Write the expression for the momentum for a circular motion by using equation (I).
Here,
Conclusion:
For the particle
Substitute,
For the particle
Substitute,
Thus, the magnitude of momentum the particle
(b)
The magnitude of the momentum of neutron.
(b)
Answer to Problem 28P
The magnitude of the momentum of neutron is
Explanation of Solution
Write the expression for the magnitude of the momentum of the neutron.
Here,
Write the expression for the x-component of neutron momentum from the conservation of momentum along parallel to original momentum
Write the expression for the y-component of neutron momentum from the conservation of momentum along perpendicular to original momentum
Write the expression from (I) by using (IV) and (V).
Conclusion:
Substitute,
Thus, the magnitude of the momentum of neutron is
(c)
The total energy of the
(c)
Answer to Problem 28P
The total energy of the
Explanation of Solution
Write the expression for the total energy of
Here,
Write the expression for the total energy of neutron.
Here,
Conclusion:
Substitute,
Substitute,
Thus, the total energy of the
(d)
The total energy of the
(d)
Answer to Problem 28P
The total energy of the
Explanation of Solution
Write the expression for the total energy of
Here,
Conclusion:
Substitute,
Thus, The total energy of the
(e)
The mass of
(e)
Answer to Problem 28P
The mass of
Explanation of Solution
Write the expression for the mass of
Here,
Conclusion:
Substitute,
Thus, the mass of
(f)
Compare the calculated and given value.
(f)
Answer to Problem 28P
The mass of
Explanation of Solution
Write the expression for the comparison between the given and the calculated value of mass.
The calculated value differs from 0.05% from given value.
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Chapter 31 Solutions
Principles of Physics: A Calculus-Based Text
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