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Answer:
11 kg
Explanation:
Given weight in kg ∝ d² where d is the distance of the object from the center of the earth
We can write this as an equatio
w = (k/d²) where is a constant
On the surface of the earth, d = 600, w = 80 so we get
80 = k/600² ==> k = 600² ( 80) = 600 x 600 x 80 (1)
At 1000 km altitude, the actual distance of the astronaut from the center of the earth is 1000 + 600 - 1600 km
So we get another equation w' = k/1600²
were w' is the weight of the astronaut at an altitude of 1000km
Using the value of k from (1) we get
w' = (600 x 600 x 80)/(1600 x 1600) = 11.25kg = 11 correct to the nearest kg
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