Question

9. Two spheres, one of mass 4.0 x 107 kg and the other of mass 8.0 x 107 kg are separated by a
distance of 400.0 m. The force of gravity between them is
a) 1.3 N b) 530 N c) 1.8 x 104 N
d) 5.1 x 1021 N
e) 5.3 x 1022 N

Answer 1

Hi there!

We can use the gravitational force equation:

$F_g = \frac{Gm_1m_2}{r^2}$

Where:

G = Gravitational Constant

m₁ = mass of one sphere (kg)

m₂ = mass of the other sphere (kg)

r = distance between the spheres (m)

Plug in the given values into the equation:

$F_g = \frac{(6.67*10^{-11})(4.0*10^7)(8.0*10^7)}{400^2} = \boxed{1.334 N}$

Thus, the correct answer is A.