Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

TopicSkillDifficulty

12 questions

SA-9702-GF2-0031 markL1 FoundationCalculatorGravitational potential

Gravitational potential at a point is defined as

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SA-9702-GF2-0051 markL1 FoundationCalculatorOrbits

A geostationary satellite has a period of

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SA-9702-GF2-0081 markL1 FoundationCalculatorOrbits

A geostationary satellite must orbit

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SA-9702-GF2-0121 markL1 FoundationCalculatorOrbits

For satellites orbiting the same planet,

T^2

is proportional to

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SA-9702-GF2-0012 marksL2 StandardCalculatorGravitational potential

Calculate the gravitational potential at Earth's surface, in units of

10^7

J kg⁻¹. (Earth: mass

6.0\times10^{24}

kg, radius

6.4\times10^6

G=6.67\times10^{-11}

N m² kg⁻²)

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SA-9702-GF2-0022 marksL2 StandardCalculatorOrbits

Calculate the speed of a satellite in a circular orbit of radius

7.0\times10^6

m around Earth. (

GM=4.0\times10^{14}

N m² kg⁻¹)

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SA-9702-GF2-0041 markL2 StandardCalculatorGravitational potential

Gravitational potential is negative because

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SA-9702-GF2-0061 markL2 StandardCalculatorOrbits

A satellite's orbital radius is increased by a factor of

4

. State the factor by which its period increases.

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SA-9702-GF2-0072 marksL2 StandardCalculatorGravitational potential

The gravitational potential changes from

-6.3\times10^7

J kg⁻¹ to

-5.9\times10^7

J kg⁻¹ as a

500

kg satellite is raised. Calculate the gain in its potential energy, in units of

10^9

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SA-9702-GF2-0091 markL2 StandardCalculatorOrbits

The orbital speed of a satellite in a circular orbit around Earth depends on

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SA-9702-GF2-0101 markL2 StandardCalculatorGravitational potential

Gravitational potential at distance

r

from a planet is

-8.0\times10^6

J kg⁻¹. Calculate the potential at distance

2r

, in units of

10^6

J kg⁻¹.

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SA-9702-GF2-0113 marksL3 ExamCalculatorOrbits

Calculate the radius of a geostationary orbit, in units of

10^7

m. (

GM_{\text{Earth}}=4.0\times10^{14}

N m² kg⁻¹;

T=86\,400

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