A meteor whose mass was about $2\mathrm{.}4108$ kg struck the Earth $($mE$=6\mathrm{.}010^24($kg$)$ with a speed of about $27$ km$/$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?