Solution Found!
••• IP A plane flies with a constant velocity of 222 m/s.
Chapter 29, Problem 22P(choose chapter or problem)
Problem 22P
••• IP A plane flies with a constant velocity of 222 m/s. The clocks on the plane show that it takes exactly 2.00 h to travel a certain distance, (a) According to ground-based clocks, will the flight take slightly more or slightly less than 2.00 h? (b) Calculate how much longer or shorter than 2.00 h this flight will last, according to clocks on the ground.
Questions & Answers
QUESTION:
Problem 22P
••• IP A plane flies with a constant velocity of 222 m/s. The clocks on the plane show that it takes exactly 2.00 h to travel a certain distance, (a) According to ground-based clocks, will the flight take slightly more or slightly less than 2.00 h? (b) Calculate how much longer or shorter than 2.00 h this flight will last, according to clocks on the ground.
ANSWER:
Step 1 of 2:-
a)
Here, we have to find whether the clocks on ground will record slightly less or more time than 2 hrs.
Here, 2 hrs is the proper time measured in the rest frame of the plane. As it’s moving at a certain velocity with respect to earth, the dilated time will be slightly more. So, according to clocks on earth, it will take slightly longer time than 2 hrs.