Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 26, Problem 72GP
To determine

The work done on the spaceship.

Expert Solution & Answer
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Answer to Problem 72GP

  1.83×1022J

Explanation of Solution

Given:

Rest mass is 42,000kg

Speed is 0.986c

Rest length is 6.0ly

Time is 1.0c

Formula used:

It is known that,

  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

It is known that,

  KE=m0c21v2c2m0c2

Where,

  m0 is rest mass

  KE is Kinetic energy

  v is velocity

  c is speed of light, 3.00×108m/s

Calculation:

The passengers will see the trip distance shrunken as given by L=L0[1(vc)2]12 and they will measure their speed to be v=LΔt0 . This means

  v=L0Δt01v2c2=(6.0y)c1.0c1v2c2

  v=0.986c

The work required to supply the necessary kinetic energy is KE=m0c21v2c2m0c2

  KE=(42,000kg)(3.00×108m/s)21(0.986)2(42,000kg)(3.00×108m/s)2=1.83×1022J

Conclusion:

The required value is 1.83×1022J .

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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