As shown in the figure below, cars #1 and #2 are sliding across a horizontal frictionless surface. The cars are equipped

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As Shown In The Figure Below Cars 1 And 2 Are Sliding Across A Horizontal Frictionless Surface The Cars Are Equipped 1 (207.77 KiB) Viewed 45 times

As shown in the figure below, cars #1 and #2 are sliding across a horizontal frictionless 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; m₁ = 15.0 kg and m₂ = 41.0 kg. In addition, you are provided with the following graph, which shows the momentum of car #1 before, during and after the collision. p (kg. m/s) 100 40 t (s) Determine the velocity (in m/s) of car #2 before the collision. 109.33 X You have been 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. m/s