The body moves at a speed of 0.8 s, where c is the speed of light, find the length of this body
| May 3, 2021 | education
The body moves at a speed of 0.8 s, where c is the speed of light, find the length of this body if at rest its length is 2 m.
Let’s use the relativistic formula:
l = l0 / √ (1 – v ^ 2 / c ^ 2), where l0 is the length at rest, c is the speed of light, v is the speed of the body.
In this case, v = 0.8 * c:
l = l0 / √ (1 – (0.8 * c) ^ 2 / c ^ 2) = l0 / 0.6.
l = 2 / 0.6 = 20/6 = 3.3 m.
Answer: the required length is 3.3 m.
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