Unit 6 · Assessment

〰️ Simple Harmonic Motion — Unit Quiz

15 questions · Multiple choice, multi-select, and free-response · AP exam format

1

A spring with k = 400 N/m has a 1 kg mass attached and oscillates on a frictionless surface. What is the period of oscillation?

easy
2

An object in SHM has amplitude A = 0.3 m. At the instant it passes through the equilibrium position, its displacement from equilibrium is:

easy
3

The period of a simple pendulum (for small angles) depends on which of the following?

easy
4

At the maximum displacement of a spring-mass oscillator, which quantity is at its maximum value?

easy
5

An object undergoes simple harmonic motion. Select ALL statements that are true.

easy

Select 3 answer(s)

6

A 0.4 kg mass on a spring (k = 100 N/m) oscillates on a frictionless surface. What is the period?

medium
7

A mass on a spring (k = 200 N/m) oscillates with amplitude A = 0.2 m. What is the total mechanical energy of the system?

medium
8

A spring-mass system has total mechanical energy E = 6 J. At a certain instant, the kinetic energy is 4 J. What is the elastic potential energy at that instant?

medium
9

A simple pendulum has period T = 2 s on Earth (g = 10 m/s²). What is the length of the pendulum?

medium
10

For a mass-spring system with spring constant k, mass m, and amplitude A, select ALL correct statements.

medium

Select 3 answer(s)

11

A spring (k = 300 N/m) oscillates with amplitude A = 0.1 m. At position x = 0.06 m from equilibrium, what fraction of the total energy is kinetic energy?

hard
12

A pendulum has period T = 1.4 s on Earth (g_Earth = 10 m/s²). What would be its period on a planet where g = 2.5 m/s²?

hard
13

A mass on a spring oscillates with period T and amplitude A. Select ALL correct statements.

hard

Select 3 answer(s)

14

A spring (k = 80 N/m) attached to a wall has a 0.2 kg block on a frictionless surface. The block is pulled 0.25 m from equilibrium and released. (a) Find the total energy. (b) Find the period of oscillation. (c) Find the block's speed at x = 0.15 m from equilibrium. (d) Find the block's maximum acceleration. (g is not needed)

hard

Free Response — show your work

15

A simple pendulum of length 0.9 m oscillates on Earth (g = 10 m/s²). (a) Find its period on Earth. (b) Find its period on the Moon where g_Moon = 1.6 m/s². (c) Express the ratio T_Moon/T_Earth as a simplified exact value and explain what it means for timekeeping.

medium

Free Response — show your work

You can answer free-response questions and review them before finishing.