Question
A person’s weight, w, on a planet of radius r is given by: w= kr^-2 k < 0 where the constant, k, depends on the masses of the person and the planet.What fraction of the Earth’s radius must an equally massive planet have for a person to weigh ten times more on that planet than on Earth?
Answers
Steve
you want R where
k/R^2 = 10(k/r^2)
R^2/r^2 = 1/10
R/r = 1/√10
k/R^2 = 10(k/r^2)
R^2/r^2 = 1/10
R/r = 1/√10