A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a positionyisuch that the spring is at its rest length. The object is then released fromyiand oscillates up and down, with its lowest position being24cm belowyi.

(a) What is the frequency of the oscillation?

Hz

(b) What is the speed of the object when it is21cm below the initial position?

m/s

(c) An object of mass700g is attached to the first object, after which the system oscillates with half the original frequency. What is the mass of the first object?

g

(d) How far belowyiis the new equilibrium (rest) position with both objects attached to the spring?

m

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