# Two body final velocities (check this please)

**1. The problem statement, all variables and given/known data**

Two masses m1 & m2 in free space are released from rest at a distance D and draw together under gravity to a distance d, calculate the final velocity of each mass.

**2. Relevant equations**

Final total KE of both bodies at d from :

KE (t) = ( ( G * m1 * m2 ) / d ) – ( ( G * m1 * m2 ) / D )

(Joules)

**3. The attempt at a solution**

Split the KE (t) by mass ratio, so :

KE (m1) = ( m2 / ( m1 + m2 ) ) * KE (t)

KE (m2) = ( m1 / ( m1 + m2 ) ) * KE (t)

The final velocities from :

v (m1) = sqrt ( ( KE ( m1 ) ) / ( ½ * m1 ) )

v (m2) = sqrt ( ( KE ( m2 ) ) / ( ½ * m2 ) )

The final momentums are equal, suggesting a good process, comments please.

**1. The problem statement, all variables and given/known data**

**2. Relevant equations**

**3. The attempt at a solution**

**1. The problem statement, all variables and given/known data**

**2. Relevant equations**

**3. The attempt at a solution**

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