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An alien starship is a sphere of radius R and mass M. To explore very distant...

An alien starship is a sphere of radius R and mass M. To explore very distant galaxies, the starship launches many space bots. The shape of the starship remains to be spherical, the total mass of the bots is M/2. Assume that the bots are very small, arrive to their destination with zero velocity, there is no dissipation of energy in the system, and the total mass of the bots and the starship does not change. Calculate how much energy is required for this exploration mission?

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Answer #1

Kinetic Energy = 1/2( mv^2)
m=mass
v=velocity


V=r

r=radius
=angular speed

KE=1/2((m/2)*r^2^2)

KE=1/4 ((mr^2)^2)

((mr^2) is equal to the moment of Inertia, I.

KE=1/4 I^2

As Rotational Kinetic energy is available for a starship everywhere in space.

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