Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Question
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Chapter 26, Problem 13P

(a)

To determine

The length and height of the spacecraft when it is at rest.

(a)

Expert Solution
Check Mark

Answer to Problem 13P

The rest length is 6.39m .

The height is 1.25m .

Explanation of Solution

Given info:

Length is 4.80m

Speed is 0.660c

Formula used:

  L=L0[1(vc)2]12

Where,

  L0 is rest length

  L is length (contracted)

  v is velocity

  c is speed of light, 3.00×108m/s

Calculation:

Substitute the given values in the formula

  L=L0[1(vc)2]12

  4.80m=L0[1(0.660)2]12

  L0=6.39m

It is known that distances perpendicular to the motion do not change.

So, the rest height will be 1.25m .

(b)

To determine

The dilated time in the spacecraft.

(b)

Expert Solution
Check Mark

Answer to Problem 13P

  15.0s

Explanation of Solution

Given info:

Time is 20.0s .

Speed is 0.660c .

Formula used:

  Δt=Δt0[1(v2c2)]12

Where,

  t0 is rest time

  t is time

  v is velocity

  c is a factor, 3.00×108m/s

Calculation:

Substitute the given values in the formula Δt=Δt0[1(v2c2)]12

  20.0s=Δt0[1(0.660)2]12

  Δt0=15.0s

(c)

To determine

The relative speed.

(c)

Expert Solution
Check Mark

Answer to Problem 13P

  0.660c .

Explanation of Solution

Introduction:

Relativistic effects are significant only at high speeds, close to speed of light, which itself is ultimate speed in universe.

Relativistic effects are relative. Means that speed relative (a person) to friend will be the same as friend's speed relative to that person. According to the question, to friend, a person moved at the same relative speed that is 0.660c .

(d)

To determine

The elapsed time.

(d)

Expert Solution
Check Mark

Answer to Problem 13P

  15.0s

Explanation of Solution

Introduction: Relativistic effects are relative. Means that speed relative to friend will be the same as friend's speed relative.

According to the question, as anyone saw her watch slow down, she will see the watch slow down by the same amount. So, she would measure the same time dilation: 15.0s .

Chapter 26 Solutions

Physics: Principles with Applications

Ch. 26 - Prob. 11QCh. 26 - Prob. 12QCh. 26 - Prob. 13QCh. 26 - Prob. 14QCh. 26 - Prob. 15QCh. 26 - Prob. 16QCh. 26 - Prob. 17QCh. 26 - Prob. 18QCh. 26 - Prob. 19QCh. 26 - Prob. 20QCh. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10PCh. 26 - Prob. 11PCh. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - Prob. 22PCh. 26 - Prob. 23PCh. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Prob. 41PCh. 26 - Prob. 42PCh. 26 - Prob. 43PCh. 26 - Prob. 44PCh. 26 - Prob. 45PCh. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49GPCh. 26 - Prob. 50GPCh. 26 - Prob. 51GPCh. 26 - Prob. 52GPCh. 26 - Prob. 53GPCh. 26 - Prob. 54GPCh. 26 - Prob. 55GPCh. 26 - Prob. 56GPCh. 26 - Prob. 57GPCh. 26 - Prob. 58GPCh. 26 - Prob. 59GPCh. 26 - Prob. 60GPCh. 26 - Prob. 61GPCh. 26 - Prob. 62GPCh. 26 - Prob. 63GPCh. 26 - Prob. 64GPCh. 26 - Prob. 65GPCh. 26 - Prob. 66GPCh. 26 - Prob. 67GPCh. 26 - Prob. 68GPCh. 26 - Prob. 69GPCh. 26 - Prob. 70GPCh. 26 - Prob. 71GPCh. 26 - Prob. 72GPCh. 26 - Prob. 73GPCh. 26 - Prob. 74GP
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Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY