Before leaving the planet Hislaurels for a starship voyage, you pack a meterstick in your luggage. After the ship has settled down to a steady speed of 0.50c, you take the meterstick out of your bag.
a. How long will you measure the meterstick to be?
b. If the meterstick is moving parallel to an observer resting on Hislaurels, how long will the observer measure the meterstick?
(a)
The length of the meterstick measured by the person.
Answer to Problem 37A
The length of the meterstick is
Explanation of Solution
Given:
Consider a person leaves the planet for a starship voyage.
The person has a meterstick in his luggage.
After settling down, the ship moves with steady speed of
Formula used:
The relativistic length contraction expression is,
Here,
Calculation:
The ship moves with a steady speed of
Consider the person takes the meterstick of length
Conclusion:
Thus, the person measures the length of the meterstick as
(b)
The length of the meterstick measured by the observer
Answer to Problem 37A
The length of the meterstick measured by the observer is
Explanation of Solution
Given:
Consider a person leaves the planet for a star ship voyage.
The person has a meterstick in his luggage.
After settling down, the ship moves with steady speed of
The ships moves parallel to the observer resting in the planet.
Formula used:
The relativistic length contraction expression is,
Here,
Calculation:
The ship moves with a steady speed of
Consider the person takes the meterstick of length
The ship moves parallel to the observer resting in the planet.
The length of the meterstick measured by the observer is,
Conclusion:
Thus, the length of the meterstick measured by the observer is
Chapter 15 Solutions
Conceptual Physics: The High School Physics Program
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