At what speed, in m/s, would a moving clock lose 4.5 ns in 1.0 day according to experimenters on the ground

the speed at which a moving clock lose 4,5ns in 1.0 day is 98.58 m/s

Explanation:

Let's first find the relation for the time dilation by using the formula:

Making the subject of the formula, we have:

Number of day(s) = 1

1 day in seconds = 24 × 60 × 60

= 84600 seconds

From the above equation, if we apply binomial expansion to it, we have the following,

⇒

So;

where ;

Therefore, the speed at which a moving clock lose 4,5ns in 1.0 day is 98.58 m/s

they should be similar or the same

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