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

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meep26wesley

High School

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

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skyluke89

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Answer:
7229 N
Explanation:
The gravitational force between the Death Star and the Millenium Falcon is given by:
$F=G\frac{mM}{R^2}$
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
$R=\frac{160,000 m}{2}=80,000 m$ is the radius of the Death Star
Substituting numbers into the equation, we find the force
$F=(6.67\cdot 10^{-11})\frac{(1.36\cdot 10^6 kg)(5.1\cdot 10^{17} kg)}{(80,000 m)^2}=7229 N$
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