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ryzh [129]
3 years ago
14

A clock mechanism at rest has a period of exactly 1 second. When this clock is observed while moving with a speed of 0.80 c, wha

t is its period?
Physics
1 answer:
grigory [225]3 years ago
6 0

Answer:

1.67 s

Explanation:

Since the clock is moving at relativistic speed, the period dilates. So, we use the equation

t = t₀/√[1 - (v/c)²].

Given that t = the period of the clock = 1 s and v = speed of the clock = 0.80c, substituting these values into t, we have

t = t₀/√[1 - (v/c)²]

t = 1/√[1 - (0.8c/c)²]

t = 1/√[1 - (0.8)²]

t = 1/√[1 - 0.64]

t = 1/√0.36

t = 1/0.6

t = 1.67 s

So the period of the clock when it is observed while moving with a speed of 0.8c is 1.67 s

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