A jet of water of cross-section A and density ρ moves horizontally at inertial speed v0 and hits a block of mass M, which is connected to a wall with a spring of constant k, as in Figure 6.41. Assume that the collision is inelastic (i.e., the water leaves with a zero horizontal component of velocity relative to the block) and that the spring is initially at its rest length l0. Find the final length of the spring.