The momentum of a moving object:

$\overline{){\mathbf{p}}{\mathbf{=}}{\mathbf{m}}{\mathbf{v}}}$

Conservation of momentum:

$\overline{){{\mathbf{m}}}_{{\mathbf{1}}}{{\mathbf{v}}}_{\mathbf{0}\mathbf{,}\mathbf{1}}{\mathbf{}}{\mathbf{+}}{\mathbf{}}{{\mathbf{m}}}_{{\mathbf{2}}}{{\mathbf{v}}}_{\mathbf{0}\mathbf{,}\mathbf{2}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{{\mathbf{m}}}_{{\mathbf{1}}}{{\mathbf{v}}}_{\mathbf{f}\mathbf{,}\mathbf{1}}{\mathbf{}}{\mathbf{+}}{\mathbf{}}{{\mathbf{m}}}_{{\mathbf{2}}}{{\mathbf{v}}}_{\mathbf{f}\mathbf{,}\mathbf{2}}}$

The objects stick and move together after the collision such that v_{1} = v_{2}.

Let two objects of equal mass m collide. Object 1 has initial velocity v, directed to the right, and object 2 is initially stationary.

Now suppose that the collision is perfectly inelastic. What are the velocities v_{1} and v_{2} of the two objects after collision?

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