A bullet of mass a and velocity b is fired into a large block of wood of mass c, what is the final velocity of the system?

Given:

Mass of bullet = a

Velocity of bullet = b

Mass of wood = c

The final velocity = ?

Initial momentum = ab

Final momentum = (a+c)v [v is the final velocity, and it combines with mass (a+c)]

Equating this, we get

v = ab/a+c

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