Thomas, a rhino, is 2.5 meters long when at rest.
a. How long will you measure him to be when he’s running by at 0.80c?
b. Show that you would measure a time of 6.3 ns for the length of his body to pass you.
(a)
The length of the person measured by an observer.
Answer to Problem 35A
The length of the person measured by an observer is
Explanation of Solution
Given:
The length of a rhino is
The speed of rhino is
Formula used:
The expression for relativistic length contraction is,
Here,
Calculation:
The length of the person measured by an observer is,
Conclusion:
Thus, the length of the person measured by an observer is
(b)
To show: The time taken for the length of body to cross the person is
Explanation of Solution
Given:
The length of a rhino is
The speed of rhino is
Formula used:
The expression for time taken is,
Here,
Calculation:
From part (a), the length of the person measured by an observer is
Consider the speed of light as
The time taken for the length of body to cross the person is,
Conclusion:
Thus, the time taken for the length of body to cross the person is
Chapter 15 Solutions
Conceptual Physics: The High School Physics Program
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