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7. A 5.0-kg cart (cart l) rolling east on a level, frictionless track at 18.0 m/s, collides with a stationary 4.0-kg cart cart 2). After the collision, cart 1 is still rolling east, but now at a speed of 2.0 m/s. (a) Assuming the total momentum of the two-cart system is conserved, calculate the final velocity of the second cart. (b) Before the collision, the systems total kinetic energy was 810 J. Calculate the total kinetic energy of the two-cart system after the collision. If (and ONLY if you couldnt get an answer for (b), make up a reasonable final velocity for the second cart and use it here. (c) Was this an elastic, inelastic, or completely inelastic collision? Explain in 1-2 sentences, citing evidence to support your conclusion. (d) Instead of the collision above, lets say that the carts did stick together, and cart ls final velocity is still 2.0 m/s. Calculate the mass that cart 2 must have in order for this to happen. (e) The type of collision in the previous question is elastic inelastic completely inelastic

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