Answer:
W = 96.875 N
Explanation:
For this exercise let's use the law of universal gravitation
F = [tex]G \frac{m M }{r^2}[/tex]
we substitute this force in Newton's second law
F = m a
G \frac{m M }{r^2} = m a
a = [tex]G \frac{M}{r^2}[/tex]
This sidewalk we will call it gravity acceleration
g₀ = a
the weight of a body is
W₀ = m g₀
if we change the cario of r ’= 4r
a’= [tex]G \frac{M}{r'^2 }[/tex]
a ’= G \frac{M}{(4r)^2 }
a' = [tex]G \frac{M}{r^2} \ \frac{1}{16}[/tex]
a ’= [tex]\frac{g_o}{16}[/tex]
therefore the weight of the body must be
W = m g = [tex]m \ \frac{g_o}{16}[/tex]
W = W₀ / 16
W = 1550/16
W = 96.875 N
