Answer:
The force of gravity a newborn and the obstetrician is 8 x [tex]10^{-8}[/tex] N.
The obstrcian exerts 1.87 times more gravitational force on the baby than the mars.
Explanation:
given information:
baby's mass, [tex]m_{1}[/tex] = 3 kg
obstericianás mass, [tex]m_{2}[/tex] = 100 kg
distance, d = 0.5 m
the formula of gravitational force is
[tex]F = \frac{Gm_{1}m_{2} }{d^{2} }[/tex]
where
F = gravitational force (N)
G = gravitational constant (6.67 x [tex]10^{-11}[/tex])
m = mass (kg)
d = distance (m)
so, gravitational force of a newborn and the obstetrician
[tex]F = \frac{Gm_{1}m_{2} }{d^{2} }[/tex]
= [tex]\frac{6.67 *10^{-11} *3*100}{0.5^{2} }[/tex]
= 8 x [tex]10^{-8}[/tex] N
thus, force of gravity a newborn and the obstetrician is 8 x [tex]10^{-8}[/tex] N
mass of mars, [tex]m_{m}[/tex] = 6.39 x [tex]10^{23}[/tex] kg
distance of mars and the earth, d = 54.6 x [tex]10^{9}[/tex] m
therefore, gravitational force of a newborn and the mars
[tex]F = \frac{Gm_{1}m_{m} }{d^{2} }[/tex]
= [tex]\frac{6.67 *10^{-11} *3*6.39 *10^{23}}{54.6 *10^{9}^{2} }[/tex]
= 4.29 x [tex]10^{-8}[/tex] N
F(obstrician)/F(mars) = 8 x [tex]10^{-8}[/tex] N/4.29 x [tex]10^{-8}[/tex] N
= 1.87
hence, the obstrcian exerts 1.87 times more gravitational force on the baby than the mars.
