3 ms·
Instead of scaling the Legos up, assume that they're life size beings on a Lego sized pseudo-Earth. It's been years since I've done any physics so, I hope I'm
by JackFr 7y ago
Instead of scaling the Legos up, assume that they're life size beings on a Lego sized pseudo-Earth. It's been years since I've done any physics so, I hope I'm not badly off, but I think the gravity will be around 1/900th that of Earth (if we assume radius of Lego world at 1/30 earth, mass of Lego world proportional to the cube). If we ignore the fact that there probably won't be an atmosphere on Lego world, I'm sure there are are various other applications of the square-cube law, etc. that will work in their favor as well.
I believe they'll make it.
- wh313 7y agoIt'll actually still be 1/30th of the Earth, since from Newton's law of universal gravitation: F = G * (m_1 * m_2) / r^2 m_2 * a = G * (m_1 * m_2) / r^2 a = G * m_1 / r^2 If we make m_1 1/30th of its original size and to the same to r: a = G * (m_1 / 30^3) / (r / 30)^2 a = G * (m_1) / r / 30 As escape velocity v_e is where GPE + KE = 0: v_e = sqrt(2 * g * r) from the surface of the planet If g is now 1/30th of it's original amount as shown above, the escape velocity would be sqrt(30) = 5.477 times less, or about 2042 m/s. So yup, they would make it if it's at 1/30th the size of the Earth, with thrust to spare for air resistance.