A 5.0 kg block hangs from a spring with spring constant 2000 N/m. The block is pulled down 5.0 cm from the equilibrium position and given an initial velocity of 1.0 m/s back towards equilibrium. What are the (a) frequency, (b) amplitude, and (c) total mechanical energy of the motion?

Explanation:

Given that,

Mass of the block, m = 5 kg

Spring constant, k = 2000 N/m

The block is pulled down 5.0 cm from the equilibrium position and given an initial velocity of 1.0 m/s back towards equilibrium.

(a) The angular frequency is given by :

Since, , f is frequency

(b) The velocity of particle executing SHM is given by :

x is displacement from equilibrium position

(c) The total mechanical energy of the motion in SHM is given by :

Hence, this is the required solution.

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