The approximate weight of the astronaut when she is standing on a space station, in orbit 240 miles above the training center will be 146.1 pounds. Option C is correct.
The weight of matter is found as the product of the mass and gravitational acceleration;
Given data;
W is the weight of the astronaut standing in a training center on the surface of Earth
W' is the approximate weight of the astronaut when she is standing on a space station, in orbit 240 miles above the training center
Given condition;
The weight of an object, w, varies inversely as the square of its distance from the center of Earth, d.
W = K/d²
Condition 1;
K = 155 × 3960²
Distance of space station from the center of the earth;d' = (3960+ 240)+4200 miles
Condition 2;
W' = K/d'²
W × d² = W' × d'²
155 × (3960)²=W'× (4200)²
W'=146.1 pounds
The approximate weight of the astronaut when she is standing on a space station will be 146.1 pounds.
Hence option C is correct.
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