Question

A spring has an unstretched length of 10 cm. When a 150 g mass is added the spring stretches to a total

length of 15 cm, where the mass rests at equilibrium.

1. What is the spring constant of the spring?

2. Now the mass is pulled down by an additional 5 cm, so that the total length of the spring is 20 cm,

   and then released. What is the frequency and period of the subsequent oscillation?

3. Draw a graph—including numbers on the position and time axes—that shows the subsequent motion

   of the spring about the equilibrium position described in part B. Distances above equilibrium are

   positive; distances below, negative. Show on your graph the amplitude and the period of this motion.

4. Where on your graph for part C is the speed the greatest? Where is the acceleration (magnitude) the

   greatest?

Answer 1

The speed is greatest at time T/4 and 3T/4 because at that time the mass is passing form the mean position.

you can comment below for any further queries. please provide positive feedback.