Question

Death Star has a diameter of 160,000m and a mass of 5.1e17kg. Millennium Falcon has a mass of 1.36e6kg (data from Wookieepedia)

Calculate the Force of gravity between the death star the Millennium Falcon when it is stranded on the surface

Answer 1

7229 N

Step-by-step explanation:

The gravitational force between the Death Star and the Millenium Falcon is given by:

`F=G(mM)/(R^2)`

where

`G=6.67\cdot 10^(-11) m^3 kg^(-1) s^(-2)` is the gravitational constant

`M=5.1\cdot 10^(17) kg` is the mass of the Death Star

`m=1.36\cdot 10^6 kg` is the mass of the Millennium Falcon

`R=(160,000 m)/(2)=80,000 m` is the radius of the Death Star

Substituting numbers into the equation, we find the force

`F=(6.67\cdot 10^(-11))((1.36\cdot 10^6 kg)(5.1\cdot 10^(17) kg))/((80,000 m)^2)=7229 N`