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

Circle the best answer, or write your answer on the line.
A 0.5 kg mass hangs on a spring with k = 50 N/m. What is the period of its oscillation, to 0.01 s, Bo?
A 0.9 kg mass hangs on a spring with k = 40 N/m. What is the period of its oscillation, to 0.01 s, Esme?
In the graph, at which time is the mass moving fastest, Kira?
- 0.5 s, as it passes equilibrium
- 1 s, at the bottom of the line
- 0 s, at the top of the line
In the graph, at which time is the mass's acceleration greatest, Luz?
Use the picture in question 3.
- 1 s, at the bottom turning point
- 1.5 s, as it passes equilibrium
- 0.5 s, as it passes equilibrium
In the graph, where is the mass at 1.5 s, and which way is it moving, Milo?
Use the picture in question 3.
- At the top, at rest
- At equilibrium, moving up
- At equilibrium, moving down
The mass on a spring is made 4 times larger. What happens to the period, Noah?
- It doubles
- It becomes 4 times longer
- It halves
A 0.2 kg mass gives a 1.0 s period on a spring. About what period does a 0.8 kg mass give on the same spring, Ren?
- About 0.5 s
- About 2.0 s
- About 4.0 s
Where in the motion is the spring's elastic energy greatest, Tala?
- The same at each point of the path
- At the turning points, where the stretch is biggest
- At equilibrium, where the speed and the kinetic energy are biggest
Where in the motion is the mass's kinetic energy greatest, Zee?
- At the turning points, where it stops
- At equilibrium, where it moves fastest
- At the start, before it is let go
With no friction, what happens to the total of kinetic and elastic energy as the mass oscillates, Ari?
- It stays the same
- It peaks as the mass passes equilibrium
- It falls a little each cycle

