Why is weight one-fourth at one Earth radius above the surface?

[M.UZAIR A.J.]

statement:
body's weight Newton on the surface of earth.Its weight one-earth's radius above the surface will be one-fourth weight.

can you tell me the reason.. why?

 

[berkeman]

statement:
body's weight Newton on the surface of earth.Its weight one-earth's radius above the surface will be one-fourth weight.

can you tell me the reason.. why?

Welcome to the PF.

This information on Newton's Universal Law of Gravitation should help you to answer your question:

http://en.wikipedia.org/wiki/Newton's_law_of_universal_gravitation

.