(a) Explanation Given info: The plane is flying at a constant velocity of 222 m / s , the clock on the plane shows that 2.00 h is taken by a plane to travel a certain distance. According to the concept of time dilation, if a clock is moving with some velocity shows a different time, than the clock that is at rest. This concept of time difference that occurs in different frame of reference called as time dilation. The relation between the clock that is at rest in comparison to the clock that is at motion is, Δ t = Δ t 0 1 − v 2 c 2 (1) Here, Δ t 0 is the proper time at rest. Δ t is the time of moving clock. v is the velocity of plane. c is the speed of light . As the velocity of the clock in the plane is 222 m / s , which is much lesser than the velocity of the light i.e. 3 × 10 8 m / s (b) To determine The time this flight will last, according to the clocks on the ground.

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Frame of reference

In physics, a frame of reference is a coordinate system used to specify either the position or the orientation or velocity of a body. The origin of the coordinate acts as a reference point for measuring the position or relative motion of a body. The coor…

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Chapter 29, Problem 21PCE

(a)

To determine

Whether the flight in accord to the ground based clock will take slightly more or slightly less time than 2.00 h .

(b)

To determine

The time this flight will last, according to the clocks on the ground.

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Chapter 29, Problem 20PCE

Chapter 29, Problem 22PCE

Chapter 29 Solutions

Physics, Books a la Carte Plus Mastering Physics with Pearson eText -- Access Card Package (5th Edition)

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Whether the flight in accord to the ground based clock will take slightly more or slightly less time than 2.00 h .

Solution Summary: The author explains the concept of time dilation, if a clock is moving with some velocity shows different time, than the clock that is at rest.

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Whether the flight in accord to the ground based clock will take slightly more or slightly less time than 2.00 h .

The time this flight will last, according to the clocks on the ground.

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Chapter 29 Solutions