The force = 1.334 x 10⁴ N
Gravity is a force that arises because of the attraction between objects with mass.
The magnitude of this attraction is proportional to the mass of the object.
The greater the mass of the object, the greater the gravitational force
Relationships can both be stated in
Newton's Gravity Law:
[tex]\rm F=G.\dfrac{m_1.m_2}{r^2}[/tex]
with F = gravitational force, N
G = gravitational constant, 6.67 x 10⁻¹¹ Nm²/kg²
m1, m2 = mass of object, kg
r = distance between two objects. m
m₁= 1 kg
m₂=2 x 10²⁰ kg
r = 1 x 10³ m
The force acting on the smaller object=The force acting on the larger object(Newton's Third Law)
[tex]\tt F=6.67\times 10^{-11}\dfrac{1\times 2.10^{20}}{(1\times 10^3)^2}\\\\F=1.334\times 10^4~N[/tex]
