posted by Sarah on .
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 ??
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
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
Yes, but just round it off to the nearest km. Using the accurate square root of 2, I get 2639 km