Clock Very
As an observer looking at a clock to a massive object, is that time is very fast ..
As an observer on earth looking ticking of a clock a massive object, is that time is very fast. In the 24 hour mark, the clock is already marked for 1,000 years. 1. How strong is the gravity? 2. What is escape velocity? 3. How massive the object? 4. Is it comparable to the strength of a black hole? 5. Escape velocity is equal to the speed of light or a little less, so that the moment of passing.
Time slows down at higher gravity. Thus, the "body mass" clearly should be much less massive than Earth, or the clock does not go faster, it would go slower. 1. The gravity on Earth is 365,250 times stronger than the "object mass "to the problem statement is correct. 2. Proportionally, the escape velocity is much smaller than Earth. v (escape) = √ [2GM / r] = 11,200 m / s for the Earth 3. It is clear that the mass of the object as it depends on the proportion of time dilation again. We are assuming a sphere without rotation. time ( Earth) = time (body) • √ [1 - 2GM/rc ²] G is the gravitational constant, M is body mass, r is the radial distance, c is the speed of light. Since the percentage of times you want are: 1 day vs. 365,250 days, this ratio is equal to the expression inside the radical. O: 1 / 365, 250 = √ [1 - 2GM/rc ²] M / r = c ² • [1 - (1 / 365, 250) ²] / 2G M / r = 6.74 • 10 ^ 26 In contrast, M / r of the Earth = 5.97 • 10 ^ 24 kg / 6.37 • 10 ^ 6 meters, or 9.37 • 10 ^ 17 Therefore, we have a body that is 720 000 000 times less massive than Earth, assuming the same radio. 4. Hardly. 5. Ni even close.
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