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Solve the following problems:

1) A 3.00 [kg] block connected to a spring with spring constant 400 [N / m] is held 12.0 [cm] from equilibrium then left to oscillate. What is the displacement of the object with respect to the equilibrium position when it attains a velocity 1.20 [m/s]. 2) A thin spherical shell of mass M = 3.00 [kg] and radius R = 1.50[m] compresses a spring (is = 500. [N /m]) by 0.400 [111]. After releasing the shell from rest, it rolls without slipping along the oor and up a sur- face inclined at an angle 6 = 30.0, as shown in the gure. What is the angular speed of the shell when it reaches a distance L = 2.00 [m] from the base of the in- cline? (I = gm?) 3) After doing all the work, Leni got _ tired and suddenly lost grip on the string. The 1000 [N] box slid down from the top of the inclined plane. The inclined plane has a surface length of 3.0 [m] that makes a 30 angle with respect to the ground. The box ran into an unstretched spring with a spring constant of 4000 [N / m]. Assuming that the surfaces are frictionless, what is the speed of the box when the spring reached a compression of 0.50 [m]