Springs in motion: period, frequency and graphs
Grade 11 Science Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
A mass on a spring makes 8 full cycles in 12 s. What is the period, to 0.01 s, Ari?
A mass on a spring makes 20 full cycles in 9 s. What is the period, to 0.01 s, Bo?
In the graph, what is the amplitude of the mass's motion, Jun?
- 2 cm
- 16 cm
- 8 cm
In the graph, what is the amplitude of the mass's motion, Milo?
Position-time graph of a mass on a spring (example data): time (s) across, 0 to 8, a mark every 1 s; position (cm) up, −5 to 5, a mark every 2.5 cm. The line joins (0 s, 5 cm), (1 s, 0 cm), (2 s, −5 cm), (3 s, 0 cm), (4 s, 5 cm), (5 s, 0 cm), (6 s, −5 cm), (7 s, 0 cm), (8 s, 5 cm) with a smooth wave. A mass on a spring moves up and down about equilibrium (0 cm). Position-time graph of a mass on a spring (example data): time (s) across, 0 to 8, a mark every 1 s; position (cm) up, −5 to 5, a mark every 2.5 cm. The line joins (0 s, 5 cm), (1 s, 0 cm), (2 s, −5 cm), (3 s, 0 cm), (4 s, 5 cm), (5 s, 0 cm), (6 s, −5 cm), (7 s, 0 cm), (8 s, 5 cm) with a smooth wave. A mass on a spring moves up and down about equilibrium (0 cm). Position-time graph of a mass on a spring (example data) 0 1 2 3 4 5 6 7 8 −5 −2.5 2.5 5 time (s) position (cm) A mass on a spring moves up and down about equilibrium (0 cm). - 5 cm
- 4 cm
- 10 cm
A mass on a spring has a period of 0.25 s. What is its frequency, Noah?
- 2.5 Hz
- 0.25 Hz
- 4 Hz
A mass on a spring makes 5 full cycles each second. What is its period, Pia?
- 0.2 s
- 5 s
- 2 s
What does frequency measure for an oscillation, by Ren's reading (OpenStax)?
- The biggest distance from the middle
- The number of cycles each second
- The time for one full cycle
Which two things set the period of a mass on a spring, by Tala's reading (OpenStax)?
- The amplitude by itself
- The mass and the spring constant
- The amplitude and the mass
A mass on a spring is pulled down 2 cm and let go, then 6 cm and let go. How do the two periods compare, Zee?
- The 6 cm swing takes 3 times as long
- The 6 cm swing is quicker
- They are the same
Which change makes the period of a mass on a spring longer, Esme?
- A stiffer spring
- A heavier mass
- A bigger pull before letting go