A meteor whose mass was about $2\mathrm{.}4108$ kgkg struck the Earth $($mE$($mE$=6\mathrm{.}010246\mathrm{.}01024($kgkg$)$ with a speed of about $27$ km$/$skm$/$s and came to rest in the Earth.

Part A

What was the Earth's recoil speed $($relative to Earth at rest before the collision$)?$

Part B

What fraction of the meteor's kinetic energy was transformed to kinetic energy of the Earth?

Part C

By how much did the Earth's kinetic energy change as a result of this collision?