# Lab Report: Experiment title

| Field | Value |
|-------|-------|
| Course / lab | Code and name |
| Author | Name |
| Date | YYYY-MM-DD |
| Partners | Names |

## Objective

What question this experiment answers, in one or two sentences.

## Theory

The governing equation:

$$
F = ma \qquad E = \frac{1}{2}mv^2
$$

Expected relationship between measured quantities:

$$
y = kx + b,\quad k = \frac{\Delta y}{\Delta x}
$$

## Materials & setup

- Equipment list with precision/uncertainty
- Setup diagram description

## Procedure

1. Step one – with safety notes where relevant
2. Step two
3. Number of trials: N

## Data

| Trial | $x$ (unit) | $y$ (unit) | $\sigma_y$ |
|-------|-----------|------------|------------|
| 1 | 0.0 | 0.0 | ±0.1 |
| 2 | 1.0 | 1.1 | ±0.1 |
| 3 | 2.0 | 1.9 | ±0.1 |

## Analysis

Linear fit result:

$$
y = (0.95 \pm 0.03)x + (0.05 \pm 0.04)
$$

Compare $k_{measured}$ with theoretical $k_{theory}$:

$$
\%\,\text{error} = \left|\frac{k_{meas} - k_{theory}}{k_{theory}}\right| \times 100\%
$$

## Error discussion

- Systematic: source and direction of bias
- Random: measurement uncertainty handling

## Conclusion

Whether the data supports the hypothesis, and what would improve the
experiment.