Q. Would I weigh the same at sea level as I do at higher altitudes? A. You would weigh very slightly more at sea level than at the top of a mountain, not enough for you to notice, but a measurable amount. Weight, which really means gravitational force, is proportional to the product of the masses of two objects acting on each other, in this case the giant earth and the minuscule you. If the earth were a perfect sphere, with a uniform mass throughout, and you were standing upright exactly at the surface, all the mass within the radius of the circle on which you stand would exert a gravitational force on you and contribute to your effective weight. However, distance is a factor, too. The more distance you put between yourself and the bulk of the mass of the earth, the less gravitational force it exerts on your body. By one estimate, a person who weighs 150 pounds on the surface of the earth would weigh approximately 149.92 pounds at 10,000 feet above sea level. As you get closer to the center of the earth, you would also weigh less and less, because only the mass within your radius would contribute to your effective weight. And if you were able to dig a hole to the center of the earth, your effective weight would be zero, because all the gravitational forces from every direction would be acting on you simultaneously and would cancel one another out. C. CLAIBORNE RAY Readers are invited to submit questions by mail to Question, Science Times, The New York Times, 229 West 43rd Street, New York, N.Y. 10036-3959, or by e-mail to .
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