Physics · Unit 4: Work, Energy & Power ·  Activity 4-2-1

Power — Energy Over Time

Lift a box in one second or in ten, and you spend the same energy. So why does the fast lift feel so much harder? Find out what power measures, and how big a motor a roller coaster really needs  ·  2 class days

StarringP = W ÷ t1 watt = 1 J/s
Work (or energy): how much
Measured in joules. Lifting a load to a given height takes mgh, no matter how long you take.
Power: how fast
Measured in watts (J/s). The same lift in half the time takes twice the power.

🧭 Plot Summary

So far in this unit you’ve asked how much energy moves: how much work a force does, how much KE an object has, how much PE is stored. Now you’ll ask a new question: how fast. Two machines can move the same amount of energy, but the one that does it in half the time is working at twice the power.

On Day 1 you’ll lift the same load at three different speeds and watch the work stay put while the power changes. On Day 2 you’ll measure your own power on a flight of stairs, turn power into the kilowatt-hours on an electric bill, and size a motor for a roller coaster lift hill.

What you will do in this activity

  • Lift the same load slowly, at a medium pace, and quickly, and discover that the work stays the same while the power changes.
  • Calculate power in watts from mass, height, and time.
  • Measure your own power by climbing a flight of stairs at two different paces.
  • Convert power and time into energy, in joules and in the kilowatt-hours on an electric bill.
  • Size a motor for a roller coaster lift hill, a preview of Project 4-2-3.

Why it matters

Power is what you actually buy and build. A motor is rated in watts, an electric bill is charged for watt-hours, and a coaster’s lift hill has to be strong enough to finish the climb in time. You’ll use all of it again in Project 4-2-3.

✅ Self-Check Before You Roll On

Check off each item as you get there. These are not grades — they are your own signal.