The bottom of a vertical, massless spring is 88.0 cm above the floor. When a 660 gram can of beans is hung on the end of the spring and moved to equilibrium, the end of the spring is stretched until it is 76.0 cm above the floor. The beans are then lifted up from their equilibrium position until the top of the can is 80.0 cm above the floor and released. (a) What is the spring constant of the spring? (b) Determine the equation for the velocity of the can of beans as a function of time. (c) At what height above the floor will the acceleration of the beans be equal to acceleration of gravity? (d) How fast are the beans moving exactly 3.80 seconds after they are released? At that time are the beans above or below the equilibrium position? (e) How much work did it take to set the beans in motion? (f) How long does it take the beans to move from lowest position above the floor to their highest position above the floor? (g) What is the speed of the beans when they are 73.0 cm above the floor?