Some believe that the positions of the planets at the time
ofbirth influence the newborn. Others deride this belief andclaim
that the gravitational force exerted on a baby by theobstetrician
is greater than that exerted by the planets. To checkthic laim,
calculate and compare the gravitational force exerted ona 3 kg
baby
a.) by a 70 kg obstetrician who is 1 m away and
roughlyapproximated as a point mass
b.) by the massive planet Jupiter (m = 2 X 1027
kg)at its closests approach to earth
( = 6 X 1011 m)
c.) by Jupiter at its greatest distance from Earth ( = 9
X1011 m)
d.) Is the claim correct?

Respuesta :

Answer:

[tex]1.4007\times 10^{-8}\ N[/tex]

[tex]1.50075\times 10^{-6}\ N[/tex]

[tex]0.000000667\ N[/tex]

Explanation:

[tex]m_1[/tex] = Mass of baby = 3 kg

G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

r = Distance between objects

Gravitational force of attraction is given by

[tex]F=\dfrac{Gm_1m_2}{r^2}\\\Rightarrow F=\dfrac{6.67\times 10^{-11}\times 70\times 3}{1^2}\\\Rightarrow F=1.4007\times 10^{-8}\ N[/tex]

The force between baby and obstetrician is [tex]1.4007\times 10^{-8}\ N[/tex]

[tex]F=\dfrac{6.67\times 10^{-11}\times 3\times 2.7\times 10^{27}}{(6\times 10^{11})^2}\\\Rightarrow F=1.50075\times 10^{-6}\ N[/tex]

The force between the baby and Jupiter is [tex]1.50075\times 10^{-6}\ N[/tex]

[tex]F=\dfrac{6.67\times 10^{-11}\times 3\times 2.7\times 10^{27}}{(9\times 10^{11})^2}\\\Rightarrow F=0.000000667\ N[/tex]

The force between the baby and Jupiter is [tex]0.000000667\ N[/tex]