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 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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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.