# The impact of asteroid

In classical mechanics, linear momentum is the product of an object's mass and velocity. In a closed system (one that does not exchange any matter with the outside world and is not acted on by any outside forces) the total momentum is constant. If a huge asteroid impacts the earth in the same direction as the earth's movement, how will it change the speed of the earth? (Assume that the impact of the asteroid is a perfectly inelastic collision, the mass of the asteroid is $$1$$% of the earth's mass, and the speed of the asteroid just before the collision is $$10$$ times faster than that of the earth.)

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