(a)
The kinetic energy of ion.
(a)
Answer to Problem 55P
The kinetic energy of ion is
Explanation of Solution
Write the expression for kinetic energy
Here,
Conclusion:
Substitute,
Therefore, the kinetic energy of ion is
(b)
The speed of ions as measured in lab frame.
(b)
Answer to Problem 55P
The speed of ions as measured in lab frame is
Explanation of Solution
Write the expression for relative kinetic energy
Here,
Substitute
Conclusion:
Substitute,
Therefore, the speed of ions as measured in lab frame is
(c)
The length of accelerator in reference frame.
(c)
Answer to Problem 55P
The length of accelerator in reference frame is
Explanation of Solution
Write the expression for length contraction
Here,
Substitute,
Conclusion:
Substitute,
Therefore, the length of accelerator in reference frame is
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