A 334 g mass is connected to a light spring of force constanct 3 N/m and it is free to oscillate on a horizontal, frictionless track. The mass is displaced 4 cm from the equilibrium point and released from rest. A.) Find the period of the motion in units of s. B.) What is the maximum speed of the mass in units of m/s. C.) What is the maximun acceleration of the mass in units of m/s^2.

Explanation:

Given that,

Mass, m = 343 g = 0.343 kg

Force constant, k = 3 N/m

Displacement in the mass from equilibrium position is  4 cm

(a) The time period of the mass that oscillates is given by :

(b) Firstly lets find the angular frequency. It is given by :

Now the maximum speed of the mass in SHM is given by :

(c) The maximum acceleration of the mass is given by :

Hence, this is the required solution.