Why does everybody want to lower birthrates? We need to settle the solar system, not wait until the next ice age or meteor mass extinction in an "environmentally friendly" mode of existance...
36 billion by the end of the century. You would have to convert all the land on Earth to farms and you still wouldn't be able to feed this many people.
216 billion by 2200 Which is almost four times as many as we could support if every planet in the solar system supported the same amount of people Earth does now.
1296 by 2300 An absurdly large number of people. You need to start expanding to other solar systems if you haven't already because this one is running out of resources. Transporting billions of people interstellar distances would take a ton of energy also.
362,797,056 billion (363 quadrillion) by the year 3000 We are running out of planets in the milky way to house them all.
2.19×10^25 by the year 4000
1.33×10^33 by 5000 We are out of planets in the universe to house them all.
8.02^40 by 6000 Now we are running out of atoms to make more humans.
And this is only 4,000 years, not even the amount of time civilization has been around. Not even a tiny fraction of the length of time humans have been around. Barely a blink of the eye for the age of the Earth, let alone the universe.
Exponential growth is a serious force.
It is naive and stupid to state that overpopulation increases the chances of a species' survival.
Please show your work.
Attempt #2: Gravitational potential energy = kinetic energy = .5massescape velocity^2. = .5human bodyweight kg 11,200 m/s. Convert the units and you've got a few years worth of calories (which I think I mixed up with kilocalories the first time).