Question

A mass is hung from a vertical spring and allowed to come to rest or its equilibrium position. The mass is then pulled down an additional 0.5 m and released. As the mass oscillates, it completes one full cycle in 5.0 s . Using the given values, correctly identify the mass's amplitude, full range of vertical motion, frequency, and period. The full range of vertical motion is the distance between the maximum and minimum heights of the mass.

The amplitude of the spring is m.
The full range of vertical motion is m.
The frequency of the spring is Hz.
The period of the spring is s.

Answer 1

Step-by-step explanation:

Given that,

The mass pulled down an additional 0.5 m and released.

The period of oscillation is 5 s

(a) The amplitude of the spring is equal to the maximum displacement i.e. 0.5 m.

(b) The full range of the vertical motion is (2×0.5) = 1 m.

(c) The frequency of the spring,

`f=(1)/(T)\\\\=(1)/(5)\\\\=0.2\ Hz`

(d) The period of the spring is 5 seconds.