Springs in motion: period, frequency and graphs

Answer Key - Grade 11 Science Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   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?

   0.94 s
2. 2.

   A 1.6 kg mass hangs on a spring with k = 10 N/m. What is the period of its oscillation, to 0.01 s, Jun?

   2.51 s
4. 3.

   In the graph, at which time is the mass moving fastest, Kira?

   • 1 s, at the bottom of the line
   • 0.5 s, as it passes equilibrium
   • 0 s, at the top of the line
5. 4.

   In the graph, at which time is the mass's acceleration greatest, Luz?

   Use the picture in question 3.

   • 1.5 s, as it passes equilibrium
   • 1 s, at the bottom turning point
   • 0.5 s, as it passes equilibrium
6. 5.

   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 down
   • At equilibrium, moving up
7. 6.

   The mass on a spring is made 4 times larger. What happens to the period, Noah?

   • It halves
   • It becomes 4 times longer
   • It doubles
8. 7.

   A spring 4 times stiffer holds the same mass. What happens to the period, Pia?

   • It becomes 4 times shorter
   • It halves
   • It doubles
9. 8.

   Where in the motion is the spring's elastic energy greatest, Tala?

   • The same at each point of the path
   • At equilibrium, where the speed and the kinetic energy are biggest
   • At the turning points, where the stretch is biggest
10. 9.

    Where in the motion is the mass's kinetic energy greatest, Zee?

    • At the start, before it is let go
    • At equilibrium, where it moves fastest
    • At the turning points, where it stops
11. 10.

    With no friction, what happens to the total of kinetic and elastic energy as the mass oscillates, Ari?

    • It peaks as the mass passes equilibrium
    • It falls a little each cycle
    • It stays the same