water A 5.10 kg mass attached to a spring is travelling at a speed v; at point K, as shown above. While it is falling it is also being pushed by a spring (k = 475.00 N/m) compressed by 1.60 m (at point K). The mass travels 1.60 m (between K and L) then hits a pool of water at point L where the water exerts an average force of 54.80 N [upwards]. At point L the spring is no longer pushing and begins to stretch (in other words, at point L, x=0). The mass eventually stops at point M. If the distance between L and M is 7.45 m, determine the initial velocity of the mass (v;). Enter an answer with three digits and in S.I. units.

water A 5.10 kg mass attached to a spring is travelling at a speed v; at point K, as shown above. While it is falling it is also being pushed by a spring (k = 475.00 N/m) compressed by 1.60 m (at point K). The mass travels 1.60 m (between K and L) then hits a pool of water at point L where the water exerts an average force of 54.80 N [upwards]. At point L the spring is no longer pushing and begins to stretch (in other words, at point L, x=0). The mass eventually stops at point M. If the distance between L and M is 7.45 m, determine the initial velocity of the mass (v;). Enter an answer with three digits and in S.I. units.