The fictional rocket ship Adventure is measured to be 50 m long by the ship’s captain inside the rocket.When the rocket moves past a space d

Question

The fictional rocket ship Adventure is measured to be 50 m long by the ship’s captain inside the rocket.When the rocket moves past a space dock at 0.5c, space-dock personnel measure the rocket ship to be 43.3 m long. Part A The rocket ship Adventure travels to a star many light-years away, then turns around and returns at the same speed. When it returns to the space dock, who would have aged less: the space-dock personnel or ship’s captain?

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Adela 3 years 2021-08-26T05:49:16+00:00 1 Answers 24 views 0

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  1. Dulcie
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    2021-08-26T05:50:46+00:00
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    Complete question:

    Part A:) The fictional rocket ship Adventure is measured to be 50 m long by the ship’s captain inside the rocket.When the rocket moves past a space dock at 0.5c , space-dock personnel measure the rocket ship to be 43.3 m long. The rocket ship Adventure travels to a star many light-years away, then turns around and returns at the same speed. When it returns to the space dock, who would have aged less: the space-dock personnel or ship’s captain?

    Part B: What is the momentum of a proton traveling at 0.62 c ?

    Answer

    a)Who would have aged less=The Captain would have aged less

    b) p=3.96*10^{-19}kgm/s

    Explanation:

    From the question we are told that

    Length measured by captain l_c=50m

    Speed of rocket past tje space dock V=0.5c

    Length measured by space-dock personnel l_c=43.3m

    a)

    Generally time moves slower when moving at speed of light, due to time dilation or variation.

    Who would have aged less=The Captain would have aged less

    b)

    Generally the equation for Relativistic Momentum  is mathematically given as

    p=\frac{m*v}{1 - v^2/c^2}

    p=\frac{1.67*10^2-27*0.62*3.0*10^8)}{\sqrt{ 1 -0.6^2}}

    p=3.96*10^{-19}kgm/s

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