Worksheet on one-dimensional waves with diagrams and questions about wave properties and motion.

Final Answer:
1. a. wavelength = distance between two consecutive crests (or troughs); amplitude = maximum displacement from equilibrium (height from center line to crest)
b. Crest: highest point; trough: lowest point; amplitude: vertical distance from center line to crest (or trough) — mark these on the sketch
c. Sketch a wave with same shape but half the horizontal distance between crests

2. a. Compression: region where coils are squeezed together; rarefaction: region where coils are spread apart — label them on the sketch
b. wavelength = 2.0 cm (measured from start of one compression to start of next, using ruler on diagram)

3. a. 1.20 seconds
b. Same time — wave speed depends only on the medium (the spring), not on amplitude.

──────────────────────────────────────

Explanation:
1. a. Wavelength is how long one full wave is — from crest to crest (or trough to trough). Amplitude is how “tall” the wave is — from the middle line up to the top (crest) or down to the bottom (trough).
b. On the sketch, find the highest point → that’s a crest. Lowest point → trough. The amplitude is the vertical distance from the center line to either of those.
c. To draw a wave with half the wavelength, squeeze the wave so the distance between crests is half as long — but keep the height (amplitude) the same.

2. a. In a slinky wave moving left, compressions are where the coils are pushed together (dense), and rarefactions are where they’re pulled apart (sparse). Look at the drawing: the tightly packed parts are compressions; the spread-out parts are rarefactions.
b. Use a ruler on the printed diagram. Count how many full waves fit in a certain length, or measure from the start of one compression to the start of the next. In the given sketch, one full wave spans 2.0 cm.

3. a. The pulse goes 5.0 m to the partner (0.60 s), then reflects and travels 5.0 m back. So total distance = 10.0 m. Since speed is constant, time = 2 × 0.60 s = 1.20 s.
b. Wave speed in a spring depends on tension and mass — not on how big the pulse is. So even if the amplitude doubles, the speed stays the same → time stays the same.