A hole is drilled through the center of the earth. The gravitational force on a mass in that hole is mgr/R, where r is the distance of the mass from the earth’s center and R is the radius of the earth (6.4 x 10 6m).A mass dropped into the hole executes simple harmonic motion. Find the period of the motion. How does one-half this time compare with the time needed to fly in an air-’ plane halfway around the earth?

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  1. A hole is drilled through the center of the earth. The gravitational force on a mass in that hole is mgr/R, where r is the distance of the mass from the earth’s center and R is the radius of the earth (6.4 x 10 6m).A mass dropped into the hole executes simple harmonic motion. Find the period of the motion. How does one-half this time compare with the time needed to fly in an air-’ plane halfway around the earth?
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