Grade 11 · Science · Physics

11th grade Springs and pendulums worksheet

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Springs and pendulums

Grade 11 Science Worksheet

NameDate

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

A bob hangs on a 1 m string and swings in small arcs. With g = 9.8 m/s², what is its period, to the nearest hundredth, Ari?
A bob hangs on a 0.25 m string and swings in small arcs. With g = 9.8 m/s², what is its period, to the nearest hundredth, Bo?
A bob hangs on a 2.5 m string and swings in small arcs. With g = 9.8 m/s², what is its period, to the nearest hundredth, Esme?
4.
Using the table, what period should the 4 m pendulum have, Jun?
- 8.0 s
- 16.0 s
- 4.0 s
5.
Using the table, what happens to the period when the length becomes 4 times as long, Kira?
Use the picture in question 4.
- It halves
- It doubles
- It becomes 4 times as long
6.
Using the table, which length gives a 1.0 s period, Luz?
Use the picture in question 4.
- 0.5 m
- 1 m
- 0.25 m
7.
In the force-extension graph, what is the spring constant, Milo?
- 12 N/m
- 200 N/m
- 0.005 N/m
8.
In the force-extension graph, what force stretches the spring 0.04 m, Noah?
Use the picture in question 7.
- 4 N
- 0.04 N
- 8 N
9.
In the force-extension graph, what does the straight line through the origin show, Pia?
Use the picture in question 7.
- Stretch is proportional to force
- The spring gets stiffer as it stretches
- The force stays the same
10.
Where is a swinging bob's energy all gravitational potential energy, Ren?
- At the lowest point
- At each end of the swing
- Halfway down

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

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)

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

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.

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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