Please answer both parts a and b of the question.Show all work and circle your answers.Thank you CaptionHeading2.) In the following apparatus, the moving first cart is allowed to collide with thestationary second cart:Blue CartRed CartVi = 0The Red cart has a mass m, and an initial velocity vo. The Blue cart has a mass m2 andis initially at rest. After the collision, the carts stick together (i.e. this is a perfectlyinelastic collision).a.) Using the conservation of momentum equation, find an expression for the finalvelocity of the system assuming the two carts have the same final velocity vF.b.) Using your answer to Part (a) above, show that the ratio of final kinetic energyto initial kinetic energy is given by the expression:KFm1Коm1 + m2You will use this result in the Analysis section of the lab.24,363>

Given blue cart has mass m2 and initially at rest and red cart has mass m1 initially moving with…

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