Physical Science 8Physical Science · Grade 8

Table of Contents

Unit 1: Energy of Motion
Unit 2: Gravity & Energy Related to Position
Unit 3: Electricity & Magnetism
Unit 4: Waves Transmitting Energy & Information
Unit 5: Thermal Energy & Heat Flow
Unit 6: Chemical Energy & Reactions
Unit 2, Chapter 7 · Gravity & Energy Related to Position

Gravitational Potential Energy

Big Question

Why does a roller coaster cart parked at the top of a 200-foot hill feel so much more dangerous than the same cart sitting on flat ground? The answer is energy you can't even see yet.

Energy That's Just Waiting Around

Not all energy is busy doing something. Some energy just sits and waits, stored up until the right moment to be released. Scientists call this stored energy potential energy, and one of the most common kinds comes from an object's position above the ground. A book balanced on the edge of a shelf, a diver standing on a high platform, and a roller coaster cart clicking its way up the first big hill all have this in common: they're loaded with energy they haven't used yet.

This particular type of stored energy is called gravitational potential energy, or GPE for short. It exists because gravity is always ready to pull things back down toward Earth. The moment something falls, drops, or rolls downhill, that waiting energy gets put to work.

Height Is the Key Ingredient

So what actually decides how much gravitational potential energy an object has? Distance above the ground is the big one. The higher an object sits, the farther gravity has to pull it, and the more energy is packed into that position. A cart sitting at the very top of a 200-foot hill has way more GPE than the same cart halfway down, and a book on a top shelf has more GPE than a book on the floor.

Mass matters too. A bowling ball sitting on a shelf has more gravitational potential energy than a tennis ball sitting on the exact same shelf, because there's simply more "stuff" for gravity to act on. So gravitational potential energy depends on two things working together: how much mass the object has, and how high above the ground it sits. Change either one, and the stored energy changes with it.

Spotting GPE in the Real World

Once you start looking for gravitational potential energy, you'll notice it everywhere. Water held behind a dam is loaded with GPE, which is exactly why dams can spin turbines and generate electricity when that water is released downward. A pole vaulter at the top of their jump, a kid at the top of a playground slide, and an apple hanging on a high branch are all storing energy in the same basic way.

Engineers who design roller coasters use this idea on purpose. They build the very first hill as the tallest point on the entire ride, because that's where the cart needs to store the maximum amount of gravitational potential energy. Every hill after that is a little shorter, since the ride is slowly spending the energy that was banked at the top.

Where Do We Measure From?

Here's a detail that trips people up: gravitational potential energy is always measured relative to some starting point, usually the ground or whatever surface an object could fall onto. A cart at the top of a hill has GPE compared to the ground below it, but if that same cart could fall into a canyon underneath the track, it would have even more GPE relative to the canyon floor.

This is why the same object can be described as having different amounts of GPE depending on what it's being compared to. The important habit to build is always asking, "Higher than what?" before deciding how much stored energy an object really has.

Gravitational Potential Energy vs. Height

For the same object, potential energy climbs in a straight line as height increases.

Real-World Connections

Hydroelectric Dams

Water held behind a dam at a high elevation has enormous gravitational potential energy. When it's released and falls, that energy spins turbines that generate electricity for entire cities.

A High Dive Platform

A diver standing on a 10-meter platform has far more gravitational potential energy than one on a 1-meter board — which is exactly why the high dive results in a much bigger splash.

How they tie togetherBoth show that height above the ground stores energy — the higher something is, the more potential energy it has, whether that energy will power a city or just make a bigger splash.

Meet the Scientist

HP

Hydroelectric Power Engineers

These engineers design dams by calculating exactly how much gravitational potential energy a reservoir of water can store at a given height, then size the turbines to convert that falling water into electricity. Taller dams with bigger reservoirs, like the Hoover Dam, can power millions of homes.

Key Vocabulary

Bold, underlined words in the reading above are clickable too — tap one to see its definition pop out. Or click or tap a card below to reveal the definition.

Gravitational potential energy (GPE)tap to flip
Stored energy an object has because of its height above the ground; the higher it is, the more it has.
Potential energytap to flip
Energy that is stored and waiting to be used, rather than energy that's currently making something move.
Positiontap to flip
Where an object is located, especially how high or low it sits compared to a reference point like the ground.
Masstap to flip
The amount of matter in an object; more mass means more gravitational potential energy at the same height.
Heighttap to flip
The vertical distance an object is above a chosen starting point, usually the ground.
Reference pointtap to flip
The starting level you measure height and potential energy from, such as the ground or the floor.
Joule (J)tap to flip
The unit scientists use to measure energy, including gravitational potential energy.
Gravitytap to flip
The pulling force that pulls objects toward each other, and toward Earth in particular near its surface.

Explore More

Read

Explainer: Kinetic and potential energy

Science News Explores
Open article →
Try the simulation

Energy Skate Park

PhET Interactive Simulations
Launch simulation →

The Physics of Roller Coasters

TED-Ed on YouTube
Watch on YouTube →

Chapter Review

1. A ball is lifted from the floor to the top of a bookshelf. What happens to its gravitational potential energy?

2. Two identical carts are on a roller coaster track. Cart A is at the top of a 30-meter hill, and Cart B is at the top of a 60-meter hill. Which cart has more gravitational potential energy?

3. Which pair of objects, sitting at the exact same height, would have different amounts of gravitational potential energy?

4. Why do engineers build the very first hill of a roller coaster as the tallest hill on the ride?

5. A backpack sits on a table that is on the second floor of a building. Compared to the ground floor far below, its gravitational potential energy relative to the ground floor is...

← PreviousCollisions and Newton's Third Law