Question
The force of gravity at Earth's surface on an astronaut is 634N. What is the force of gravity on the same person at each of the following distances, in multiples of Earth's radius, from the centre of Earth?
A)2 B)5 C)10 D)17.2
A)2 B)5 C)10 D)17.2
Answers
bobpursley
Hmmmm. I am not certain how the force of gravity can ever be greater on an astronaut at multiples of earth radii. It gets smaller as one goes out.
Elena
If
mg = GmM/R^2 = 634 N,
then I believe that
(mg)1 = GmM/(2R)^2 = 634/4 =158.2 N
(mg)2 =634/25 =25.36 N
(mg)3 =634/100= 6.34 N
(mg)4 =634/(17.2)^2 = 2.14 N
All changes are due to the changes in "g".
mg = GmM/R^2 = 634 N,
then I believe that
(mg)1 = GmM/(2R)^2 = 634/4 =158.2 N
(mg)2 =634/25 =25.36 N
(mg)3 =634/100= 6.34 N
(mg)4 =634/(17.2)^2 = 2.14 N
All changes are due to the changes in "g".