(a)
The expression for the threshold energy.
(a)
Answer to Problem 30P
The expression for the threshold energy is
Explanation of Solution
Write the expression from the conservation of energy.
Here,
The momentum of the fist particle is equal to the momentum of total mass.
Write the expression for the momentum.
Here,
Write the expression from the momentum conservation.
Here,
Write the expression for the threshold energy.
Here,
Conclusion:
Substitute,
Substitute,
Thus, the expression for the threshold energy is
(b)
The value for threshold energy.
(b)
Answer to Problem 30P
The value for threshold energy is
Explanation of Solution
Write the expression for the threshold energy.
Conclusion:
Substitute,
Thus, The value for threshold energy is
(c)
The value for threshold energy.
(c)
Answer to Problem 30P
The value for threshold energy is
Explanation of Solution
Write the expression for the threshold energy.
The value of the product for this reaction is,
Conclusion:
Substitute,
Thus, the value for threshold energy is
(d)
The value for threshold energy.
(d)
Answer to Problem 30P
The value for threshold energy is
Explanation of Solution
Write the expression for the threshold energy.
The value of the product for this reaction is,
Conclusion:
Substitute,
Thus, the value for threshold energy is
(e)
The value for threshold energy.
(e)
Answer to Problem 30P
The value for threshold energy is
Explanation of Solution
Write the expression for the threshold energy.
Conclusion:
Substitute,
Thus, the value for threshold energy is
Want to see more full solutions like this?
Chapter 31 Solutions
Principles of Physics: A Calculus-Based Text
- If the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV, what is the difference in their mass in kilograms?arrow_forwardIn a nuclear power plain, the fuel rods last 3 yr before they are replaced. The plant can transform energy at a maximum possible rate of 1.00 GW. Supposing it operates at 80.0% capacity for 3.00 yr, what is the loss of mass of the fuel?arrow_forward(a) Beta decay is nuclear decay in which an electron is emitted. If the electron is given 0.750 MeV of kinetic energy, what is its velocity? (b) Comment on how the high velocity is consistent with the kinetic energy as it compares to the rest mass energy of the electron.arrow_forward
- (a) Using data from Table 7.1, find the mass destroyed when the energy in a barrel of crude oil is released. (b) Given these barrels contain 200 liters and assuming the density of crude oil is 750 kg/m3, what is the ratio of mass destroyed to original mass, m/m ?arrow_forwardEnergy reaches the upper atmosphere of the Earth from the Sun at the rate of 1.79 1017 W. If all of this energy were absorbed by the Earth and not re-emitted, how much would the mass of the Earth increase in 1.00 yr?arrow_forwardAn unstable particle with a mass equal to 3.34 1027 kg is initially at rest. The particle decay's into two fragments that fly off with velocities of 0.987c and 0.868c, respectively. Find the masses of the fragments. Hint: Conserve both mass-energy and momentum.arrow_forward
- A muon has a rest mass energy of 105.7 MeV, and it decays into an electron and a massless particle. (a) If all the lost mass is converted into the electron's kinetic energy, find for the electron. (b) What is the electron's velocity?arrow_forwardAn unstable particle having a mass of 3.34 1027 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.987c and 0.868c. Find the rest masses of the fragments.arrow_forwardThe average lifetime of a pi meson in its own frame of reference is 2.6 × 10−8 s. If the meson moves with a speed of 0.95c, what is (a) its mean lifetime as measured by an observer on Earth and (b) the average distance it travels before decaying, as measured by an observer on Earth?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax