Question

Someone weighs 200 pounds on the surface of the Earth. If the radius of the Earth is 4000 miles, how much would that person weigh 1000 miles above the surface?

Answer 1

HEY MATE

HERE IS UR ANSWER

Answer:

Person will weigh 128 pounds, 1000 miles above the surface.

Explanation:

Weight of an object is the force of gravitation on the object.

As force of gravitation F is directly proportional to the two objects, here mo, mass of object and mE, mass of Earth and inversely proportional to the square of the distance between them. Constant of proportionality being Gm the gravitational constant.

In other words F=G×momEr2 and here

200=G×momE40002

i.e. GmomE=200×40002

When the person (the object in our case) moves 1000 km. above Earth i.e. the distance between them increases to 5000 km., the weight (i.e. the force) becomes

F=GmomE50002=200×4000250002

= 200×1625=128 pounds

HOPE IT HELPS YOU....