Asked by Sarah

how many kilometers would you have to go above the surface of the earth for your weight to decrease to half of what it was at the surface?

I know that the mass of earth is 5.97 x 10^24 kg do i have to convert it to km ??
Answered by drwls
The weight force will be decreased by 2 when the distance from the center of the earth is increased by a factor sqrt2 = 1.141

The height you will have to rise above the surface will be

H = (sqrt2 - 1)* Rearth

Rearth = 6371 km

Solve for H

Answered by Sarah
for this one i got 1.414 for the sqrt of 2 so i did (1.414 - 1)* 6371 km and got 2638.95 km is this correct
Answered by drwls
Yes, but just round it off to the nearest km. Using the accurate square root of 2, I get 2639 km
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