Suppose that you measure the length of a spaceship, at rest relative to you, to be 400 m. how long will you measure it to be if it flies past you at a speed of u=0.75c?

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25-08-2022
Physics

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Suppose that you measure the length of a spaceship, at rest relative to you, to be 400 m. how long will you measure it to be if it flies past you at a speed of u=0.75c?

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Tutorconsortium366 Tutorconsortium366 · Answer 1 · 2022-09-05T04:46:59-04:00

Given, the speed is V = 0.75c, and the length is given as l = 400 m. Here, c equals the speed of light, which is .

The entire length is determined b[tex]c=3*10^{8} m/s[/tex]y applying the relation shown below:

[tex]L=l\sqrt{1-\frac{V^{2}}{c^{2}} } \\L=400 m\sqrt{1-\frac{0.75c^{2}}{c^{2}} } \\\\L=264.5 m[/tex]

What is speed?

Speed is what it means. The rate of change of position of an object in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. Galileo was the first scientist to measure speed as a function of distance over time. An excellent illustration of an instantaneous speed is a speedometer. Another way to express the speed of light is as 186,282 miles per second. In dry air, sound travels at a speed of 343.2 meters per second.

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