Concept explainers
(a)
The proof for the expression
(a)
Answer to Problem 14PQ
The Lorentz transformation relating
Explanation of Solution
Write the expression to obtain the position of the object along
Here,
Write the expression to obtain the position of the object along
Here,
Substitute
Further solve the above equation.
Write the expression to obtain the Lorentz factor.
Here,
Take square both sides in the above equation.
Subtract
Divide both sides by
Substitute
Substitute
Substitute
Therefore, the Lorentz transformation relating
(b)
The Lorentz transformation relating
(b)
Answer to Problem 14PQ
The Lorentz transformation relating
Explanation of Solution
Rewrite (II).
Substitute
Further solve the above equation.
Consider equation (IV).
Substitute
Therefore, the Lorentz transformation relating
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Chapter 39 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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