Respuesta :
Answer:
100.8lb
Step-by-step explanation:
Firstly , we need to write the proportionality sign.
We were told weight is inversely proportional to distnace from earth's centre, this can be written as follows:
W ∝1/d^2
Removing the proportionality sign, and introducing the constant of proportionality yields:
W = k/d^2
W.d^2 = k
We now calculate the value of this constant as follows ;
115 × (3978)^2 = k
k = 1,819,815,660
We use this value now in calculating her weight above the surface of the earth.
We know she is 271mi above the earth's surface, her distance from the center of the earth would now be = 271 + 3978 = 4,249mi
We now use the relation again to calculate:
W.d^2 = k
w = k/d^2
w = 1,819,815,660/(4249)^2
w = 100.8 lb
Answer: 122.8
Step-by-step explanation:
Assuming the measurements were 3978 miles from earths center, you would divide her weight on earth by 3978 then adding 271 onto 3978 (4249) and then multiplying the previous answer by that number.