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Physics / Conceptual Physics 12 / Chapter 35 / Problem 2P

Conceptual Physics | 12th Edition | ISBN: 9780321909107 | Authors: Paul G. Hewitt

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Recall, from this chapter, that the factor gamma ()

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QUESTION:

Recall, from this chapter, that the factor gamma (?) governs both time dilation and length contraction, where ? When you multiply the time in a moving frame by ?, you get the longer (dilated) time in your fixed fame. When you divide the length in a moving frame by ?, you get the shorter (contracted) length in your fixed frame. A starship passes Earth at 80% of the speed of light and sends a drone ship forward at half the speed of light relative to itself. Show that the drone travels at 93% the speed of light relative to Earth.

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QUESTION:

Recall, from this chapter, that the factor gamma (?) governs both time dilation and length contraction, where ? When you multiply the time in a moving frame by ?, you get the longer (dilated) time in your fixed fame. When you divide the length in a moving frame by ?, you get the shorter (contracted) length in your fixed frame. A starship passes Earth at 80% of the speed of light and sends a drone ship forward at half the speed of light relative to itself. Show that the drone travels at 93% the speed of light relative to Earth.

ANSWER:

Answer : Here Given: V = Velocity of drone with respect to Earth= 0.5 c x Vx’ Velocity of drone with respect to spaceship = 0.8 c V- Velocity of space ship w

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