Suppose that an asteroid traveling straight toward the center of the earth were to collide with our planet at the equator and bury itself just below the surface. What would have to be the mass of this asteroid, in terms of the earth’s mass M, for the day to become 25.0% longer than it presently is as a result of the collision? Assume that the asteroid is very small compared to the earth and that the earth is uniform throughout.

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Suppose that an asteroid traveling
straight toward the center of the earth were to collide with our planet at
the equator and bury itself just below the surface. What would have to
be the mass of this asteroid, in terms of the earth’s mass M, for the day
to become 25.0% longer than it presently is as a result of the collision?
Assume that the asteroid is very small compared to the earth and that
the earth is uniform throughout.

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