2.) In the following apparatus, the moving first cart is allowed to collide with the stationary...

  

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2.) In the following apparatus, the moving first cart is allowed to collide with the stationary second cart: Blue Cart Vi=0 Red Cart The Red cart has a mass m and an initial velocity vo. The Blue cart has a mass m and is initially at rest. After the collision, the carts stick together (i.e. this is a perfectly inelastic collision). a.) Using the conservation of momentum equation, find an expression for the final velocity of the system assuming the two carts have the same final velocity vp. b.) Using your answer to Part (a) above, show that the ratio of final kinetic energy to initial kinetic energy is given by the expression: KF = m m + m 2.) In the following apparatus, the moving first cart is allowed to collide with the stationary second cart: Blue Cart Vi=0 Red Cart The Red cart has a mass m and an initial velocity vo. The Blue cart has a mass m and is initially at rest. After the collision, the carts stick together (i.e. this is a perfectly inelastic collision). a.) Using the conservation of momentum equation, find an expression for the final velocity of the system assuming the two carts have the same final velocity vp. b.) Using your answer to Part (a) above, show that the ratio of final kinetic energy to initial kinetic energy is given by the expression: KF = m m + m