Free fall and fall with air resistance

PhysicsKinematicsAges 15–16Virtual lab

Use with my class

Two objects of different mass and cross-section are dropped together from the same height. With drag off, both hit the ground at the same time, v = gt. With drag on, the lighter object with more drag reaches terminal velocity and falls more slowly. The v(t) graph and distance fallen update in real time. A Lab screen measures g with an electromagnet and light gates (the gradient of 2h against t² is g) and fits coffee-filter v(t) data with linear (bv) and quadratic (cv²) drag models.

Lesson: Free fall

What it shows

Without air, every object falls with the same acceleration g whatever its mass, so v = gt and the fall time t = √(2h/g) is the same for a heavy and a light object. In air, drag opposes the motion; the lighter sphere has a larger area-to-mass ratio, so it reaches a lower terminal velocity and lands later. The Lab screen turns this into practicals: timing a steel ball from an electromagnet to a light gate at several heights gives g as the gradient of 2h against t², and dropping nested coffee filters shows whether F = bv or F = cv² fits the data.

How to use

Turn Enable air resistance off, press Drop again and compare the landing times and v(t) lines of Object 1 and Object 2; then turn it on and repeat. On the Lab screen, choose g with light gates, set Drop height h, press Switch off magnet three times at each height and read g from the graph. Or choose Drag on coffee filters, drop 1 to 8 filters, Record each terminal velocity and compare the graphs against m.

Parameters you can change

  • Drop height 5–120 m
  • Acceleration due to gravity 1.6–11 m/s²
  • Mass of object 1 0.05–10 kg
  • Mass of object 2 0.05–10 kg
  • Enable air resistance
  • Screen Drop two objects, Lab
  • Experiment (Lab screen) Measuring g with light gates, Drag on coffee filters
  • Light-gate drop height h (Lab) 0.1–1.5 m
  • Number of nested coffee filters n (Lab) 1–8

Questions to explore

  1. Why do a feather and a steel ball fall at the same rate in a vacuum?
  2. When an object reaches terminal velocity, how does the drag force compare with its weight?
  3. If the drop height is made four times larger without air resistance, how many times longer does the fall take?

Teaching ideas

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