Question 1 (5 points) A 15.22 kg ball moving at 9.129 m/s to the right collides with a 7.139 kg ball at rest. After the collision, the 15.22 kg ball moves at 4.810 mis to the right. What is the velocity of the 7.138 kg ball after the collision? 9.209 mis to the right 10.59 m/s to the right E 12.08 mis to the left 9.209 mds to the left o D 8.174 m/s to the right 8.174 ms to the left LO 10.59 m/s to the left h 12.08 m/s to the right

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.