High school · for use with the Next Generation Science Standards*

HS-PS2-4: Newton's law of gravitation, with Coulomb's law

What students must show for performance expectation HS-PS2-4, with a lesson sequence built on live data, the misconceptions to expect, and assessment questions with answers.

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At a glance
5lesson steps
3live tools
5assessment questions
14 to 18age range

Last updated . Curriculum links last reviewed November 2026.

What students must show

Our summary
  • Students use mathematical representations of Newton's law of gravitation and Coulomb's law to describe and predict the gravitational and electrostatic forces between objects.
In scope

Both number-based and concept-based descriptions of gravitational and electric fields.

Not assessed

Systems of more than two objects.

Our summary, in our own words. Read the official wording.

The three dimensions

High school
Practice

Using mathematics and computational thinking

Use mathematical representations of phenomena to describe explanations.

Core idea

PS2.B Types of interactions

Newton's law of gravitation and Coulomb's law describe forces at a distance; fields carry energy through space.

Crosscutting

Patterns

Different patterns at each scale can give evidence for causes.

Live tools for this standard

3 tools

Lesson sequence

Engage to evaluate
  1. Engage10 min

    The ISS is about 420 km up. Ask: is gravity there 0%, 50% or 90% of its surface value? (Close to 90%.)

  2. Explore25 min

    Inverse-square table: g at the surface, at the ISS (about 420 km), at GPS height (20,200 km) and at geostationary height (35,786 km), Measure every distance from the center of the Earth, so add its radius, 6,371 km, to each height.

  3. Explain20 min

    The Weight on other worlds sheet: g = GM / r^2 for the Moon and Mars. Then Coulomb's law: the same inverse-square form, but charges can repel, and the electric force between two protons is about 10^36 times stronger than gravity.

  4. Elaborate15 min

    The Geostationary orbit sheet: work out how high a satellite must be to circle once per day.

  5. Evaluate15 min

    Two-body problems: the Earth and Moon, a satellite and Earth, two charged spheres.

Common misconceptions

3 to watch for
Students often think

Gravity is zero in orbit.

In fact

At the ISS's height gravity is close to 90% of its surface value.

Try this

Calculate it with the station's live height.

Students often think

Doubling the distance halves the force.

In fact

The force falls with the square of the distance: double the distance and the force drops to a quarter.

Try this

The inverse-square table.

Students often think

Gravity and electric forces have nothing in common.

In fact

Both are inverse-square forces acting at a distance. Gravity only attracts and is far weaker.

Try this

Put the two laws side by side.

Assessment questions

Answers folded away

HS-PS2-4: Newton's law of gravitation, with Coulomb's law · orbitalradar.com/schools/us/standards/hs-ps2-4

  1. If the distance between two masses triples, the gravitational force becomes:
    1. One-third as strong
    2. One-ninth as strong
    3. Three times stronger
  2. Which force can push two objects apart?
    1. Gravitational
    2. Electrostatic
    3. Neither
  3. Find g at the height of the ISS (420 km). Earth's radius is 6,371 km and g at the surface is 9.8 m/s^2.
  4. Electric forces are far stronger than gravity, so why does gravity rule the solar system?
  5. Use the satellite directory: for one satellite, work out the gravitational force per kilogram at its height.
Answer key
  1. One-ninth as strong.
  2. Electrostatic.
  3. 9.8 x (6,371 / 6,791)^2, about 8.6 m/s^2.
  4. Planets and stars are electrically neutral overall, so electric forces cancel, while gravity always adds up.
  5. g = 9.8 x (6,371 / (6,371 + h))^2, with h in km.

Worksheet

US Letter
Weight on other worldsGeostationary orbit

One page on US Letter, filled in with live numbers when you open it. Teacher notes and answers included.

The same idea in state standards

Texas, Florida, Georgia

Related, not equivalent: each state words and groups its standards differently.

More standards pages

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Codes are performance expectations of the Next Generation Science Standards*, for example 5-ESS1-2. Each summary is our own wording; follow the link on a standard page for the official text.

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Orbital Radar. (2026, November 6). HS-PS2-4: Newton's law of gravitation, with Coulomb's law. Retrieved November 6, 2026, from https://orbitalradar.com/schools/us/standards/hs-ps2-4

“HS-PS2-4: Newton's law of gravitation, with Coulomb's law.” Orbital Radar, 6 Nov. 2026, orbitalradar.com/schools/us/standards/hs-ps2-4. Accessed 6 Nov. 2026.

Orbital Radar (2026) HS-PS2-4: Newton's law of gravitation, with Coulomb's law. Available at: https://orbitalradar.com/schools/us/standards/hs-ps2-4 (Accessed: 6 November 2026).

Orbital Radar. “HS-PS2-4: Newton's law of gravitation, with Coulomb's law.” Last modified November 6, 2026. https://orbitalradar.com/schools/us/standards/hs-ps2-4.

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