The boy weighs 50.0 kg when he is 1R from the center of the
Earth. To get his weight 5R away, we can
use the formula:
[tex] W_{boy} [/tex] = G * m1 * m2 / [tex] r^{2} [/tex]
Where G, m1, and m2 are constants. By ratio and proportion:
[tex] W_{boy} [/tex] * ([tex] (5R)^{2} [/tex]= 50.0 kg * 9.81 m/ * ([tex] (1R)^{2} [/tex]
Canceling R on both sides and by computation:
[tex] W_{boy} [/tex]= 19.6 N
