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6.1.5Space Physics

Gravitational Field Strength — Cambridge IGCSE Physics 0625 Revision Notes & Topical Questions

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Curriculum Equation Key Circular Motion & Gravitation LawsFast Exam Solution
a_c = v² / r | F_c = (m × v²) / r | F_g = G × (m₁ × m₂) / r² | v_orbit = √(G×M / r)
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Lesson summary

6.1.5 Gravitational Field Strength — IGCSE Physics Notes — IGCSE PHYSICS notes: Define gravitational field strength, use g = W/m, and describe how it depends on mass and distance.Gravity — every object with mass attracts every other object, and the force is noticeable only when o…

  • Definition
  • Mass of the planet
  • Radius of the planet
  • At a surface
  • On the Moon
  • Far from large masses

Part 1 of 8Gravity and the gravitational field

Gravity
  • Gravity every object with mass attracts every other object, and the force is noticeable only when one mass is huge, like a planet.
Field
  • Field the region around a mass in which another mass feels a gravitational force is its gravitational field.
Direction
  • Direction the force always pulls the two masses towards each other.

Part 2 of 8Gravitational field strength

Definition
  • Definition g is the gravitational force acting per unit mass on an object placed in the field.
Equation
  • Equation g = W / m, or W = m g.
  • W is the weight in newtons (N).
  • m is the mass in kilograms (kg).
  • g is the gravitational field strength in newtons per kilogram (N/kg).
Free fall
  • Free fall the unit N/kg is the same as m/s², so g is also the acceleration of free fall.

Part 3 of 8What g depends on

Mass of the planet
  • Mass of the planet the greater the mass, the greater the field strength at its surface.
Radius of the planet
  • Radius of the planet g at the surface also depends on how far the surface is from the centre.
Distance
  • Distance as the distance from a planet increases, the field strength decreases.
At a surface
  • At a surface the value of g is constant over small changes of height.

Part 4 of 8Values of g

Bodyg (N/kg)
Moon1.6
Mercury3.7
Mars3.7
Venus8.9
Saturn9.0
Earth9.8
Neptune11.0
Jupiter23.1
Earth
  • Earth a 1 kg mass is pulled with a force of 9.8 N, often taken as 10 N/kg.
Moon
  • Moon g is about one-sixth of its value on the Earth.

Part 5 of 8Mass and weight

Mass
  • Mass the amount of matter in an object, measured in kg and the same everywhere.
Weight
  • Weight the gravitational force on an object, measured in N, which depends on the local value of g.
On the Moon
  • On the Moon mass stays the same but weight falls to about one-sixth.
Far from large masses
  • Far from large masses weight is almost zero but mass is unchanged.
Measurement
  • Measurement weight is measured with a newton-meter, mass with a balance.

Part 6 of 8Free fall

Acceleration
  • Acceleration if weight is the only force, the object accelerates at g.
Equal for all masses
  • Equal for all masses in a vacuum all objects fall with the same acceleration, because a = F / m = mg / m = g.
Air resistance
  • Air resistance on Earth a feather falls more slowly than a hammer because of drag, not gravity.

Part 7 of 8Gravity and orbits

Orbit force
  • Orbit force the gravitational attraction of the Sun acts towards its centre and keeps the planets in orbit.
Sun's mass
  • Sun's mass the Sun holds over 99% of the mass of the Solar System, so it dominates the orbits.
Further out
  • Further out as the distance from the Sun increases the Sun's field strength decreases.
Effect on orbits
  • Effect on orbits planets further out have smaller orbital speeds and longer orbital periods.

Part 8 of 8More from the specification

1Gravitational Field Strength
  • The gravitational force exerted per unit mass (g = F / m) governs the orbital trajectories of moons, planets,
  • and comets around massive astronomical bodies.
2Comet Orbits and Energy Conservation
  • A comet follows a highly eccentric elliptical orbit, accelerating and gaining kinetic energy as it converts gravitational potential energy near perihelion.
3Earth's Tilt and Daylight Hours
  • The 23.5-degree axial tilt of Earth causes the northern hemisphere to tilt toward the Sun during summer,
  • resulting in longer hours of daylight and shorter night periods.
4Hemispheric Seasonal Solar Insolation
  • Summer occurs in a hemisphere when incoming solar light strikes the surface at a more perpendicular angle, concentrating solar energy over extended daylight hours.
5Hemisphere
  • Half of the Earth, northern or southern.
6Nebula
  • Cloud of gas and dust in which stars form.
7Comet
  • An icy body on a highly elliptical orbit around the Sun.
8Elliptical orbit
  • Orbit with constant E and L but varying speed.
9Kinetic energy
  • K = ½mv2, energy of motion.
10Artificial satellite
  • A man-made object orbiting a body in space.
11Gravitational potential
  • Work done per unit mass in bringing a test mass from infinity to the point.
12Potential energy
  • Energy stored by the configuration of a system.

Key terms

TermMeaning
Gravitational field strengthForce per unit mass at a point in a gravitational field, in N/kg.
WeightThe gravitational force on an object, W = m g, in newtons.
MassThe amount of matter in an object, in kg, the same everywhere.
Free fallFalling under gravity alone, with acceleration g.
Gravitational fieldThe region around a mass where another mass experiences a force.

Avoid these mistakes

1
Using kg for weight or N for mass — weight is a force in N and mass is in kg.
2
Saying mass changes on the Moon — only the weight changes.
3
Saying heavier objects fall faster in a vacuum — all fall with the same acceleration.
4
Giving the unit of g as N or kg — it is N/kg (or m/s²).
5
Saying there is no gravity in space — gravity acts everywhere and is weaker far from a large mass.

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