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Two identical spherical asteroids (mass 7.53x10^18 kg, radius 1.28x10^3 m) are initially at rest, with their...

Two identical spherical asteroids (mass 7.53x10^18 kg, radius 1.28x10^3 m) are initially at rest, with their centers 4.79x10^5 m apart. Ignore all other objects in the universe, and friction. The two asteroids accelerate toward each other, due to gravity, until they finally crash together. At what speed, in m/s, will each asteroid be moving when they collide (just touch on their outer edge)? NOTE: when the asteroids collide, the distance between the centers of the asteroids is not zero!

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