Physics

Problem

a. Part 1: A light spring is loaded first with a

0.20\,\text{kg}

mass and then with a

0.50\,\text{kg}

mass. The corresponding time periods of small vertical oscillations are

1.2\,\text{s}

and

1.6\,\text{s}

, respectively. (i) Write the relation connecting the period, the attached mass and the spring constant. For example, use the relation

T = 2\pi \sqrt{\frac{m}{k}}

. (ii) Using the above data, calculate the spring constant of the spring. a. Part 1: A light spring is loaded first with a

0.20\,\text{kg}

mass and then with a

0.50\,\text{kg}

mass. The corresponding time periods of small vertical oscillations are

1.2\,\text{s}

and

1.6\,\text{s}

, respectively. (i) Write the relation connecting the period, the attached mass and the spring constant. For example, use the relation

T = 2\pi \sqrt{\frac{m}{k}}

. (ii) Using the above data, calculate the spring constant of the spring.