MIDDLE SCHOOL PHYSICAL SCIENCE (NEXT GENERATION SCIENCE STANDARDS) • ENERGY

Identify systems in which objects interact at a distance

Discover how gravity, magnetism, and electric forces let objects push and pull without ever touching.

Historical Context & Motivation

Have you ever held two magnets near each other and felt them snap together — or push apart? Nobody is touching them, yet they clearly feel a force. For thousands of years, this kind of invisible interaction puzzled thinkers. Ancient Greeks noticed that a mineral called lodestone (a natural magnet) could attract iron. They also saw that rubbing amber on fur let it pick up feathers. These observations were the first clues that forces can act at a distance.

~600 BCE
Ancient Observations
Greek thinkers noticed lodestone attracting iron and rubbed amber attracting light objects. These were the earliest recorded non-contact force observations.
1600
William Gilbert's Magnetism Studies
English scientist William Gilbert proposed that Earth itself acts as a giant magnet. He showed that compass needles respond to Earth's magnetic field, not to the stars.
1687
Newton's Law of Gravitation
Isaac Newton published his law of universal gravitation. He showed that every object with mass pulls on every other object with mass — even across empty space.
1785
Coulomb's Law of Electric Force
Charles-Augustin de Coulomb measured the force between electric charges. He proved that electric force, like gravity, gets weaker with distance.
1831
Faraday Introduces Fields
Michael Faraday proposed the idea of invisible fields surrounding magnets and charges. This concept explained how forces could act through empty space.

These discoveries all point to a big question: How can objects push or pull each other without touching? Scientists answer this with the idea of non-contact forces (forces that act between objects that are not physically touching). This lesson explores three major non-contact forces — gravity, magnetism, and electric force — and the invisible fields that make them work. These ideas connect to NGSS performance expectations MS-PS2-3, MS-PS2-5, and MS-PS3-2.

Core Principles of Non-Contact Forces

When you kick a soccer ball, your foot touches the ball. That is a contact force. But not all forces need contact. A non-contact force acts between objects that are separated by space. Scientists explain non-contact forces using the idea of a field (an invisible region around an object where it can exert a force on other objects). A system is a group of interacting objects that we study together. Let's look at the main types.

1

Gravitational Force

Every object with mass (the amount of matter in an object) pulls on every other object with mass. This pull is gravity. It is always attractive — it only pulls, never pushes. Earth's gravity keeps you on the ground and the Moon in orbit.
2

Magnetic Force

Magnets have north and south poles (the two ends of a magnet where the force is strongest). Opposite poles attract each other. Like poles repel (push away from) each other. A magnetic field fills the space around every magnet.
3

Electric Force

Objects can gain or lose tiny particles called electrons, giving them an electric charge. Opposite charges attract. Like charges repel. A charged object can even attract a neutral object through a process called induction (rearranging charges inside the neutral object).
4

Fields Carry the Force

Scientists model non-contact forces using fields. A gravitational field surrounds every mass. A magnetic field surrounds every magnet. An electric field surrounds every charge. The field exists in the space between objects and is what transmits the force.
KEY TAKEAWAY
Think of a field like the Wi-Fi signal from your router. You cannot see Wi-Fi, but your phone detects it from across the room. Similarly, a magnet's field is invisible, but a paperclip "detects" it and feels a pull. The field is the invisible go-between that lets objects interact at a distance.

Visualizing Non-Contact Force Fields

Fields are invisible, but scientists draw field lines to help us picture them. The diagram below shows the three major types of non-contact forces and their fields. Notice how the arrows show the direction a force would act on another object placed inside the field.

Left panel: Gravitational field lines point inward toward a mass (Earth). Gravity only attracts. Center panel: Magnetic field lines curve from the north (N) pole to the south (S) pole. Magnets can attract or repel. Right panel: Electric charges can attract (opposite charges) or repel (like charges).

Look at the three panels in the diagram above. In each case, there is empty space between the objects, yet a force still acts. The gravitational panel shows arrows all pointing inward toward Earth — gravity only pulls. The magnetic panel shows field lines curving from the north pole to the south pole. The electric panel shows that opposite charges attract while like charges push apart. In every case, a field fills the space between the objects and carries the force.

Mathematical Framework — Energy Stored in Fields

When objects interact at a distance, their system stores energy. This stored energy is called potential energy (energy stored because of an object's position or arrangement). For gravity near Earth's surface, we can calculate this energy. This connects non-contact forces (MS-PS2-3 and MS-PS2-5) to energy in a system (MS-PS3-2).

GRAVITATIONAL POTENTIAL ENERGY
PE = m × g × h
PE = gravitational potential energy (measured in Joules, J) • m = mass of the object (in kilograms, kg) • g = gravitational acceleration near Earth (9.8 m/s²) • h = height above a reference point (in meters, m). The mass and the height both affect how much energy the system stores.

Notice that PE depends on height. The higher an object is above the ground, the more potential energy the Earth-object system stores. This energy exists because Earth's gravitational field pulls on the object. If you let go, that stored energy converts to kinetic energy (energy of motion) as the object falls.

💡 Why Potential Energy Belongs to the System
Potential energy does not belong to just one object. It belongs to the system of interacting objects. A ball on a shelf has gravitational PE only because it is in a system with Earth. Without Earth's gravitational field, the ball's height would not matter. The same idea applies to magnets and charges — energy is stored in the field between them.

For magnetic and electric forces, the math is more complex and is usually studied in high school. But the key pattern (the crosscutting concept of Cause and Effect) is the same: changing the distance between objects changes the force and the energy stored in the system.

Comparing the Three Non-Contact Forces

Gravity, magnetism, and electric force all act at a distance, but they differ in important ways. The diagram below summarizes the key factors that affect the strength of each force. Recognizing these patterns is a crosscutting concept in science.

This comparison shows how the three non-contact forces differ. Notice the shared pattern: all three forces depend on distance. The strength bars show relative strength for everyday-sized objects. Electric force is strongest at short range, gravity is weakest but acts on everything with mass.
Comparison of the three major non-contact forces
FeatureGravitationalMagneticElectric
What causes it?MassMagnetic poles or moving chargesElectric charge
Attract, repel, or both?Attract onlyBothBoth
Affected by distance?Yes — weaker with more distanceYes — weaker with more distanceYes — weaker with more distance
Can be shielded?NoPartially (with certain metals)Yes (with conductors)

Worked Example — Energy in a Gravitational System

A hawk carries a 0.4 kg fish to its nest, which is 15 m above the ground. The hawk drops the fish, and it falls to the ground. How much gravitational potential energy did the fish-Earth system store before the fish was dropped? What happens to that energy when the fish falls?

Gravitational PE of a Dropped Fish
1
Step 1 — Identify the System and Given ValuesThe system is the fish and Earth interacting through gravity (a non-contact force). We know: m = 0.4 kg, g = 9.8 m/s², and h = 15 m. The fish is at rest in the nest before being dropped.
2
Step 2 — Write the FormulaGravitational potential energy: PE = m × g × h. This tells us the energy stored in the system because the fish is at a height above the ground.
3
Step 3 — Substitute the ValuesPE = 0.4 kg × 9.8 m/s² × 15 m
4
Step 4 — Calculate Step by StepFirst multiply: 0.4 × 9.8 = 3.92. This is the weight of the fish in Newtons (the force of gravity on it). Then multiply by the height: 3.92 × 15 = 58.8.
PE = 58.8 J (Joules)
5
Step 5 — Interpret the AnswerThe fish-Earth system stores 58.8 J of gravitational potential energy while the fish is in the nest. When the hawk drops the fish, this PE converts to kinetic energy (energy of motion) as the fish speeds up during the fall. Energy is transferred within the system, not created or destroyed.

Real-World Systems with Non-Contact Forces

Non-contact forces are everywhere in your daily life. Here are some real-world systems where objects interact at a distance. In each case, a field exists between the objects even though you cannot see it. Scientists call this the crosscutting concept of Systems and System Models — we can define a group of interacting objects and study the forces and energy within it.

Examples of real-world non-contact force systems
SystemForce TypeHow It Works
Skydiver and EarthGravitationalEarth's gravitational field pulls the skydiver downward. PE converts to kinetic energy as they fall.
Compass and EarthMagneticEarth's magnetic field exerts a torque (rotational force) on the compass needle, rotating it to align north-south.
Rubbed balloon and wallElectricRubbing transfers electrons to the balloon, making it negatively charged. The charged balloon induces charge separation in the neutral wall, attracting it.
Maglev train and trackMagneticPowerful magnets in the train repel magnets in the track, lifting the train above the rails so it floats without friction.
Sun and planetsGravitationalThe Sun's enormous mass creates a gravitational field that keeps all the planets in orbit around it.
KEY TAKEAWAY
Think of non-contact forces like a video-game character's special power that reaches across the screen. The character does not need to walk over and touch an enemy — the power travels through the space between them. Gravity, magnetism, and electric force all work this way. The "power" is the invisible field that fills the space between interacting objects.

Connection to High School and Beyond

In middle school, you learn to identify systems where objects interact at a distance and calculate gravitational PE. In high school physics, you will go deeper into each type of force. Here is a preview of where these ideas lead.

How middle school non-contact force concepts connect to high school physics
What You Learn Now (Middle School)What Comes Next (High School)
Gravity pulls all objects with mass toward each other.Newton's law of universal gravitation calculates exact gravitational force using masses and distance.
Opposite charges attract; like charges repel.Coulomb's law calculates exact electric force using charge amounts and distance.
PE = m × g × h gives gravitational potential energy.You'll learn about electric potential energy, magnetic potential energy, and how energy transfers between fields.
Fields are invisible regions where forces act.You'll draw and calculate field strength at specific points, and learn that light itself is an electromagnetic field.

Everything you learn now about identifying systems and understanding fields builds a foundation for high school physics. The crosscutting concept of Scale, Proportion, and Quantity becomes even more important as you learn to calculate exact force values.

Practice Problems

🔬 NGSS Dimensions in These Problems
These problems integrate Disciplinary Core Ideas (PS2.B: Types of Interactions; PS3.A: Definitions of Energy), Science and Engineering Practices (Constructing Explanations, Analyzing Data, Planning Investigations), and Crosscutting Concepts (Cause and Effect, Patterns, Systems and System Models, Energy and Matter). Performance Expectations: MS-PS2-3, MS-PS2-5, MS-PS3-2.
PROBLEM 1CONCEPTUAL
A compass needle is a small magnet that is free to rotate. When you set a compass on a table, the needle slowly swings and stops pointing roughly north-south. Which explanation best describes why the needle aligns this way? (SEP: Constructing Explanations; CCC: Cause and Effect; PE: MS-PS2-3) A) Gravity pulls the needle to point toward the North Pole. B) Wind currents in the room push the needle to face north. C) Earth's magnetic field exerts a force that rotates the needle to align with it. D) The needle is attracted to the nearest metal object in the room.
PROBLEM 2BASIC CALCULATION
A squirrel drops an acorn from a tree branch. The acorn has a mass of 0.01 kg and the branch is 5 m above the ground. Before the acorn falls, how much gravitational PE is stored in the acorn-Earth system? Use g = 9.8 m/s². (SEP: Using Mathematics; CCC: Energy and Matter; PE: MS-PS3-2) A) 0.098 J B) 0.49 J C) 4.9 J D) 49 J
PROBLEM 3INTERMEDIATE
A student rubs a balloon on their hair and then holds it near small pieces of neutral paper. The paper jumps up and sticks to the balloon without the balloon touching the paper first. Which explanation best accounts for this observation? (SEP: Constructing Explanations from Evidence; CCC: Cause and Effect; PE: MS-PS2-3, MS-PS2-5) A) The rubbing heats the balloon, and hot objects attract nearby materials. B) Gravity between the balloon and paper is what lifts the paper, since the balloon is heavier. C) Rubbing transfers electrons to the balloon, giving it a negative charge, which then attracts the neutral paper through induction. D) The balloon creates a magnetic field that pulls on the iron in the paper.
PROBLEM 4APPLIED
A hang glider pilot (mass 80 kg including equipment) launches from a cliff at 4,000 m elevation and lands at a beach at 0 m elevation. The pilot wants to know: how much gravitational PE did the pilot-Earth system lose during the flight? Where did that energy go? Use g = 9.8 m/s². (SEP: Analyzing and Interpreting Data; CCC: Energy and Matter; PE: MS-PS3-2) A) 313,600 J B) 3,136,000 J C) 784 J D) 31,360 J
PROBLEM 5CRITICAL THINKING
Astronauts on the International Space Station (ISS) appear to float inside the station. A student claims: "There is no gravity in space — that is why astronauts float." Using what you know about gravitational systems, evaluate this claim. Which statement best explains what is really happening? (SEP: Engaging in Argument from Evidence; CCC: Systems and System Models; PE: MS-PS2-3) A) The student is correct — gravity disappears once you leave Earth's atmosphere. B) Gravity on the ISS is about half as strong as on Earth's surface, which is weak enough for floating. C) Gravity on the ISS is still about 89% as strong as on Earth's surface, but astronauts appear weightless because the ISS and everything inside it are falling together around Earth (orbiting). D) The ISS has special anti-gravity technology that cancels Earth's pull.

Lesson Summary

Objects can interact at a distance through three major non-contact forces: gravitational force (acts on all objects with mass, always attracts), magnetic force (acts between magnets and magnetic materials, can attract or repel), and electric force (acts between charged objects, can attract or repel). Each force works through an invisible field — a region of space where the force can act on other objects. A shared pattern is that all three forces get weaker as distance increases.

When objects interact at a distance, their system can store potential energy. For gravity near Earth's surface, we calculate this using PE = m × g × h. Potential energy belongs to the system of interacting objects, not to a single object alone. Understanding non-contact forces and fields is central to NGSS performance expectations MS-PS2-3, MS-PS2-5, and MS-PS3-2. These ideas are used everywhere — from compasses and static electricity to orbiting spacecraft and maglev trains.

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