3. 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?

3. 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?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

3. 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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DYNAMICS OF RIGID BODIES