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The magnitude of the tidal force exerted on an object of mass m and length a is approximately 4GmMa/r3.
In this expression, M is the mass of the body causing the tidal force and r is the distance from the center of m to the center of M. Suppose you are 1.0×106mi away from a black hole whose mass is a 1.9×106 times that of the Sun. Estimate your mass to be 75kg and your length to be 1.9m .
PART A. Estimate the tidal force exerted on your body by the black hole.
PART B. At what distance will the tidal force be approximately 12 times greater than your weight?
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