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As shown in the figure below, cars #$1$ and #$2$ are sliding across a horiznntsl f$-$ictionless surface.

The cars are equipped with a coupling arrangement similar to the one on railroad cars. Car #$1$ overtakes car #$2$ and they have a totally inelastic collision and become coupled together. You know the mass of each car; $m_1=17\mathrm{.}0kg$ and $m_2=46\mathrm{.}0kg.$ In addition, you are provided with the following graph, which shows the momentum of car #$1$ before, during and after the collision.

Determine the velocity $($in $\frac{m}{s})$ of car #$2$ before the collision.

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given the mass of car #$1$ and the graph provides you with the momentum of the car after the collision. See if you can use this information to determine the velocity of car #$1$ after the collision. Knowing the velocity of car #$1$ after the collision and also knowing that the two cars are coupled together, see if you can determine the velocity and hence momentum of car #$2$ after the collision. Since momentum is conserved, how does the change in momentum of car #$2$ during the collision compare to the change in momentum of car #$1($obtained from the graph$)?$ Knowing how the initial, final and change in a physical quantity are related, see if you can use this relationship to determine the initial momentum and then initial velocity of car #$2.$ As a check on your work, see if your answers support the knowledge that momentum is conserved. $\frac{m}{s}$

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