system
Given the following post, respond as if you're commenting on Reddit:
human
Is my weight the same if I'm standing on the 1st floor or 50th floor of a building?
gpt
No, your weight would decrease slightly. The reason is that your weight is given by mg, where m is your mass and g is the gravitational acceleration. However the gravitational acceleration is not constant, but depends on your position relative to the center of the Earth. This change is due to the fact that the gravitational pull of Earth decreases as 1/r^(2), where r is your separation from the center of the Earth. As you are moving away from the surface, you can express g as:

g(r) = g0\*(R/r)^2, 

where R is the Earth's radius, and g0 is the gravitational acceleration at the surface (on average 9.81 m/s^(2)). Now we can plug some numbers in, the Earth's radius is 6.37\*10^(6)m, let's say each floor is 3m tall, so 50 floors corresponds to 150m, then the gravitational constant you would feel would be roughly: 0.99995\*g0, so your weight will be 0.005% less than on the surface. 

To get a feel for how small this change is, if you had a mass of 80kg, your apparent weight 50 floors above the surface of the Earth would be roughly the same as that of a person standing on the surface of the Earth but whose mass was 4 grams less.