a) i. b) i. ii. iii. iv. Define gravitational field strength at a point. Determine the mass of the Earth assuming that it is a uniform sphere of radius 6378 km and that the gravitational field strength at the Earth's surface is 9.81 N kg¹¹. Determine the average density of the Earth. Use the mass of the Earth as calculated in part b)i to determine the gravitational field strength due to the Earth at a distance of 3.5 x 108 m from the centre of the Earth. Consider a point X a distance of 3.5 x 108 m from the centre of the Earth and which lies on the line joining the centre of the Earth to the centre of the Moon.
a) i. b) i. ii. iii. iv. Define gravitational field strength at a point. Determine the mass of the Earth assuming that it is a uniform sphere of radius 6378 km and that the gravitational field strength at the Earth's surface is 9.81 N kg¹¹. Determine the average density of the Earth. Use the mass of the Earth as calculated in part b)i to determine the gravitational field strength due to the Earth at a distance of 3.5 x 108 m from the centre of the Earth. Consider a point X a distance of 3.5 x 108 m from the centre of the Earth and which lies on the line joining the centre of the Earth to the centre of the Moon.
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Transcribed Image Text:a) i.
b) i.
Define gravitational field strength at a point.
Determine the mass of the Earth assuming that it is a uniform sphere
of radius 6378 km and that the gravitational field strength at the
Earth's surface is 9.81 N kg¹¹.
Determine the average density of the Earth.
iii. Use the mass of the Earth as calculated in part b)i to determine the
gravitational field strength due to the Earth at a distance of
3.5 x 108 m from the centre of the Earth.
ii.
iv. Consider a point X a distance of 3.5 x 108 m from the centre of the
Earth and which lies on the line joining the centre of the Earth to the
centre of the Moon.
c) i.
ii.
At X the gravitational field strength due to the Moon is equal but
opposite to that of the Earth.
The mass of the Moon is 7.4 x 10²2 kg.
Determine the distance from the centre of the Moon to X and hence
determine the distance between the centres of the Earth and Moon.
Determine the time in Earth years for the planet Jupiter to complete
one orbit of the Sun. Take 1 Earth year as 365 days.
The mass of the Sun is 1.98 x 1030 kg
The radius of Jupiter's orbit around the Sun is 7.78 x 10¹¹ m.
Hence determine the radius of orbit for the planet Venus if this planet
takes 224.5 Earth days to complete one orbit of the Sun.
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