1. The problem statement, all variables and given/known data A spring with a force constant of 225 N/m is resting on a friction-less surface and mounted against a wall horizontally. A 1.5 kg box is pushed against the spring and compresses it 12 cm (0.12m) from equilibrium. When released the spring pushes the box across the surface. 2. Relevant equations F = kx W = FΔd Ee = 1/2 k x^2 Ek = 1/2 m v^2 3. The attempt at a solution a) How much force needs to be applied to the spring to compress it to 12 cm (0.12m)? F = 225 x 0.12 = 27 N b) How much work is done to compress the spring to 12 cm? W = 27 x 0.12 = 3.24 J c) How much elastic energy is stored in the spring when compressed? Ee = 1/2 x 225 x 0.12^2 = 1.62 J Question: Is it normal that Ee is less than the work energy applied to the system in b)? d) What maximum speed will the box attain once released? 1.62 = 1/2 x 1.5 x v^2 1.62/0.75 = v^2 v = 1.47 m/s ** not sure about this because I might be using a wrong Ek obtained in c) ** Thanks in advance.