An object of unknown mass m is hung from a vertical spring of unknown spring constant k, and the object is observed to be at rest when the spring has stretched by 17 cm .
the object is then given a slight push upward and executes shm part a determine the period t of this oscillation.
express your answer to two significant figures and include the appropriate units.

Explanation:

It is given that,

Let m is the mass of the object that is hung from a vertical spring of unknown spring constant k. When the spring is stretched by 17 cm, the object executes SHM. Let T is the period of oscillation that is given by :

.............(1)

The gravitational force is balanced by the force of spring at equilibrium as :

So, equation (1) becomes :

x = 17 cm = 0.17 m

T = 0.82 seconds

So, the period of this oscillation is 0.82 seconds. Hence, this is the required solution.