Two spherical asteroids have the same radius RR$.$ Asteroid $1$ has mass MM and asteroid $2$ has mass $2$MM$.$ The two asteroids are released from rest with distance $10$RR between their centers.

Part A

What is the speed of each asteroid just before they collide?

Hint: You will need to use two conservation laws.

Enter your answers separated by a comma. Express your answers in terms of the variables MM$,$ RR$,$ and gravitational constant GG$.$

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v$1,$v$2$v$1,$v$2=$

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