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Grade 11 · Science · Physics

11th grade Springs and pendulums worksheet

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Springs and pendulums

Grade 11 Science Worksheet - Challenge Me

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

  1. A 0.5 kg mass bounces on a spring with a spring constant of 20 N/m. What is its period, to the nearest hundredth, Ari?

  2. A 2 kg mass bounces on a spring with a spring constant of 50 N/m. What is its period, to the nearest hundredth, Bo?

  3. A 0.2 kg mass bounces on a spring with a spring constant of 80 N/m. What is its period, to the nearest hundredth, Esme?

  4. A pendulum timer must have a period of 1 s. With g = 9.8 m/s², about how long must its string be, Jun?

    • About 1.56 m
    • About 0.25 m
    • About 1 m
  5. A mass bounces on a spring with a 1 s period. What spring keeps the mass but halves the period, Luz?

    • One with half the spring constant
    • One with twice the spring constant
    • One with 4 times the spring constant
  6. Noah says a heavier mass on the same spring bounces more slowly. Agree or disagree?

    • Disagree: mass can't change a period
    • Agree: T = 2π√(m ÷ k)
    • Disagree: heavier masses bounce faster
  7. Pia says pulling a pendulum bob back a little farther (still a small swing) changes its period a lot. Agree or disagree?

    • Disagree: small swings keep the same period
    • Agree: a bigger swing is much quicker
    • Agree: a bigger swing takes much longer to complete
  8. A pendulum is taken from Earth (g = 9.8 m/s²) to the Moon (g = 1.62 m/s²). What happens to its period, Ren?

    • It gets about 6 times longer
    • It stays the same
    • It gets about 2.46 times longer
  9. A mass on a spring is taken from Earth to the Moon. What happens to its bounce period, Tala?

    • It gets longer, like a pendulum's
    • It gets shorter
    • It stays the same
  10. Which timer would keep the same time on Earth and on the Moon, Zee?

    • A bob on a string
    • A mass bouncing on a spring
    • Neither of them
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11th grade Springs and pendulums worksheet – printable
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About this worksheet

Springs and pendulums. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can use Hooke's law, F = kx (x in meters), and read k as the slope of a force-extension graph.
  • I can find a pendulum's period, T = 2π√(L ÷ g) with g = 9.8 m/s², and a spring-mass period, T = 2π√(m ÷ k).
  • I can read a displacement-time trace for amplitude, period and fastest points. I can track potential and kinetic energy in the swing, and predict both timers on the Moon.

Standard: none (TX)

Words to know

spring constant (k): How stiff a spring is, in newtons per meter

period (T): The time for one full swing or bounce

amplitude: The biggest distance from the middle position

pendulum bob: The weight at the end of a pendulum's string

small swing: A swing of a few degrees, where the period formula holds

Common mistakes

Your child used centimeters. The spring constant is in N/m, so change centimeters to meters first.

Your child left out the square root. A pendulum's period is 2π√(L ÷ g).

Your child put k on top. A spring's period is 2π√(m ÷ k): more mass, slower bounce.

Questions parents ask

What is the most common mistake with springs and pendulums?

Your child used centimeters. The spring constant is in N/m, so change centimeters to meters first.

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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