To the nearest pound, the weight of the astronaut 100 miles above earth is 196 pounds
How to get the weight
We have to solve for the weight using this proportion
[tex]\frac{w_2}{w_1} = \frac{R^2}{(R+h)^2}[/tex]
such that w₁ = weight of the astronaut obn earth surface = 206
w₂ = weight above earth
R = 4000
h = 100
We have to put the values on the formula
[tex]\frac{w_2}{206} = \frac{4000^2}{(4000+100)^2}[/tex]
[tex]\frac{w_2}{206} = \frac{16000000}{(16810000)}[/tex]
when we solve the equation above we have
206 * 16000000 = w₂ * 16810000
3296000000 / 16810000 = w₂
w₂ = 196.07
To the nearest pound, the weight of the astronaut 100 miles above earth is 196 pounds