A body above the surface of the earth is pulled toward the center of the earth with a force proportional to the reciprocal of the square of the distance of the body from the center. If the radius of the earth is 6375 km, find the velocity of the body as it strikes the surface of the earth if it falls from rest at a distance of four times the earth's radius measured from the center of the earth. What is the velocity if it falls from an infinite distance?
A body above the surface of the earth is pulled toward the center of the earth with a force proportional to the reciprocal of the square of the distance of the body from the center. If the radius of the earth is 6375 km, find the velocity of the body as it strikes the surface of the earth if it falls from rest at a distance of four times the earth's radius measured from the center of the earth. What is the velocity if it falls from an infinite distance?
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Please solve both for me I request to u kindly solve clean handwriting ok.
Must same answer.
5. 9.7km/s; 11.2km/s
6. 126h
Transcribed Image Text:5. A body above the surface of the earth is pulled toward the center of the earth with a force
proportional to the reciprocal of the square of the distance of the body from the center. If
the radius of the earth is 6375 km, find the velocity of the body as it strikes the surface of
the earth if it falls from rest at a distance of four times the earth's radius measured from the
center of the earth. What is the velocity if it falls from an infinite distance?
6. A certain radioactive material follows the law of exponential change and has a half life of
38 hours. Find how long it takes for 90% of the radioactivity to be dissipated.
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