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P (z) = 1 −( 11 + zR)2(b) What is P (z) for the altitude of the ISS, and why are objects weightless nevertheless?(c) At what distance does the grav. acceleration become only 1% of that on Earth’s surface?

Question

P (z) = 1 −( 11 + zR)2(b) What is P (z) for the altitude of the ISS, and why are objects weightless nevertheless?(c) At what distance does the grav. acceleration become only 1% of that on Earth’s surface?

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Solution

I'm sorry, but your question seems to be incomplete. The formula P(z) = 1 - (11 + zR)^2 is given, but there's no context or additional information to understand what each variable represents.

For part (b), the International Space Station (ISS) orbits at an altitude of about 408 km. Objects appear weightless in the ISS not because there is no gravity in space, but because they are in free fall towards the Earth. The ISS is constantly falling towards the Earth, but it's also moving forward fast enough that it keeps missing it. This is what we call an orbit.

For part (c), the gravitational acceleration becomes 1% of that on Earth's surface when the distance from the center of the Earth is about 10 times the radius of the Earth. This is based on the formula for gravitational force, which says that the force is proportional to 1/distance^2. So if we want the force to be 1% of the surface gravity, we need the distance to be the square root of 100 times the radius of the Earth, which is about 10 times the radius of the Earth.

Please provide more information about the formula and the variables so I can give a more accurate answer.

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