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Gravitational fields

This A-level only topic extends mechanics to gravitational interactions.

0

Objectives

10

Flashcards

10

Questions

90 min

Study time

AqaA LevelPhysicsFields and their consequences

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Newton's law of gravitation4 objectives
  • State and apply Newton's law of gravitation.
  • Explain inverse-square behaviour in gravitational force.
  • Calculate gravitational forces between masses.
  • Distinguish gravitational force from gravitational field strength.
Gravitational field strength4 objectives
  • Define gravitational field strength as force per unit mass.
  • Calculate gravitational field strength around spherical masses.
  • Link gravitational field strength to weight.
  • Interpret gravitational field strength graphs.
Gravitational potential4 objectives
  • Define gravitational potential in a field.
  • Calculate changes in gravitational potential energy.
  • Interpret gravitational potential graphs.
  • Link potential difference to work done in moving masses.
Orbits of planets and satellites4 objectives
  • Explain circular orbits using gravitational force as centripetal force.
  • Calculate orbital speed and period for simple circular orbits.
  • Explain geostationary orbit conditions.
  • Link orbital radius to speed, period and field strength.

Key terms

Newton's law of gravitationgravitational field strengthInverse-square lawGravitational ForceGravitational Field StrengthWeightGravitational Potential Energyweightgravitational field strength graphinverse-square lawgravitational potentialgravitational potential energy

Exam tips

  • Understanding Newton's Law of Gravitation: Remember that the gravitational force between two masses is calculated using the formula F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between their centers.
  • Understanding Inverse-Square Law: Remember that gravitational force decreases with the square of the distance between two masses. Use the formula F = G * (m1 * m2) / r^2 to calculate the gravitational force.

Common mistakes

  • Misunderstanding Gravitational Force Calculation: To calculate gravitational force, use Newton's law of gravitation: F = G * (m1 * m2) / r^2. Substitute the correct values for masses and the distance between their centers. For example, if m1 = 5 kg, m2 = 10 kg, and r = 2 m, then F = 6.674 × 10^-11 * (5 * 10) / (2^2) = 8.3425 × 10^-11 N.
  • Misunderstanding Inverse-Square Law: To fix this, remember that the gravitational force (F) between two masses (m1 and m2) is given by the formula F = G * (m1 * m2) / r^2. When the distance (r) is doubled, substitute into the formula: F = G * (m1 * m2) / (2r)^2 = G * (m1 * m2) / (4r^2), showing that the force is reduced to a quarter.

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