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Grade 11 · Science · Physics

11th grade Springs in motion: period, frequency and graphs worksheet

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Springs in motion: period, frequency and graphs

Grade 11 Science Worksheet

NameDate

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

  1. 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?

  2. 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?

  3. 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
  4. 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
  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 up
    • At equilibrium, moving down
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
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11th grade Springs in motion: period, frequency and graphs worksheet – printable
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About this worksheet

Springs in motion: period, frequency and graphs. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the period from a count of cycles, and switch between period and frequency with f = 1 ÷ T.
  • I can read amplitude, period, turning points and the fastest point from a position-time graph.
  • I can use T = 2π√(m ÷ k), scale it with mass and stiffness, find v max = 2πA ÷ T, and find k from a measured period.

Standard: none (IXL parity)

Words to know

period: The time for one full cycle, in seconds

frequency: Cycles per second, in hertz: f = 1 ÷ T

amplitude: The biggest distance from equilibrium

equilibrium: The middle position where the spring's net force is zero

turning point: Where the mass stops and turns back, at ±A

spring constant k: How stiff a spring is, in N/m

Common mistakes

Your child turned period and frequency around. Period = time ÷ number of cycles, in seconds; frequency = cycles ÷ time, in hertz.

Your child left out the square root. T = 2π√(m ÷ k), so take the square root of m ÷ k before multiplying by 2π.

Your child left out 2π. The fastest speed is v = 2πA ÷ T, since the mass covers a circle's worth of phase each period.

Questions parents ask

What is the most common mistake with springs in motion: period, frequency and graphs?

Your child turned period and frequency around. Period = time ÷ number of cycles, in seconds; frequency = cycles ÷ time, in hertz.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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