Question
A planet has a mass of 6.06x 10^23 kg and a radius of 3.99 x 10^6 m. a) What is the acceleration due to gravity on this planet? b) how much would a 72.5 kg person weigh on this plane?
Answers
bobpursley
"g"= GMp/radius^2
weight= 72.5*"g"
weight= 72.5*"g"
Damon
m g = G m M/r^2
so
g = G M/r^2 = 6.67*10^-11 * 6.06*10^23 *10^-12 / 3.99^2
= 40.42 * 10^0
= 40.42 or about 4 times earth g
m g = 72.5*40.42 = 2930 Newtons
so
g = G M/r^2 = 6.67*10^-11 * 6.06*10^23 *10^-12 / 3.99^2
= 40.42 * 10^0
= 40.42 or about 4 times earth g
m g = 72.5*40.42 = 2930 Newtons