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 44P

(a)

To determine

Speed of the first spaceship relative to the second spaceship.

(a)

Expert Solution
Check Mark

Answer to Problem 44P

  0.80c

Explanation of Solution

Given:

Speed with respect to the earth is v=0.50c

Speed of second spacecraft is u'=0.50c

Formula used:

It is known that

  u=(v+u')1+vu'c2

Where,

  m is relativistic mass

  v is velocity (with the respect to the earth)

  u' is a speed (Or speed respect to the first speed)

  c is speed of light, 3.00×108m/s

Calculation:

In the reference frame of the second spaceship, the Earth is moving at 0.50c and the first spaceship is moving at 0.50c relative to the Earth.

So, speed of the first spaceship relative to the second is

  u=(0.50c+0.50c)1+(0.50)(0.50)=0.80c

(b)

To determine

The speed of the second spaceship relative to the first spaceship.

(b)

Expert Solution
Check Mark

Answer to Problem 44P

  0.80c

Explanation of Solution

Given:

Speed with respect to the earth is v=0.50c

Speed of second spacecraft is u'=0.50c

Formula used:

It is known that

  u=(v+u')1+vu'c2

Where,

  m is relativistic mass

  v is velocity (with the respect to the earth)

  u' is a speed (Or speed respect to the first speed)

  c is speed of light, 3.00×108m/s

If u' is in the opposite direction from v then u' must have a minus sign in the above mentioned expression.

Calculation:

In the reference frame of the first spaceship, the Earth is moving at 0.50c and the second spaceship is moving at 0.50c relative to the Earth.

So, speed of the second spaceship relative to the first is

  u=(0.50c+(0.50c))1+(0.50)(0.50)=0.80c

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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