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A 12 kg rock is initially located at a distance 40 000 km from the centre of Earth, which has a mass of 6.0 × 1024 kg.
Determine the gravitational potential energy of the rock at this location. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Calculate the gravitational potential energy of a binary star system consisting of two stars, each of mass 2 × 1030 kg, separated by a mean distance 150 × 106 km. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Mars has a mass 0.107358 M Earth. The acceleration due to gravity on Mars is 3.75 ms-2.
(a) Calculate the mass of an astronaut on Mars whose weight is 800 N on Earth. (1)
(b) Calculate the weight of the astronaut on Mars. (1)
(c) Determine the radius of Mars relative to the radius of the Earth (RE). Express your answer as a ratio. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
a) Titan and Rhea are moons orbiting Saturn. Titan orbits at a distance of 1.2 x 106 km from the centre of Saturn.
Given that Titan takes exactly three times as long as Rhea to orbit Saturn, calculate the mean distance between the centre of Rhea and Saturn. (3)
b) Given that the mass of Saturn is 5.68 x 1026 kg, calculate the orbital velocity of Rhea. (2)
c) Two new moons of Saturn are discovered. One of the new moon, Cupid, has a mass of 3m and a radius of 3r while the other new moon, Zeus has a mass of m and a radius of 2r, as shown in the diagram below. (2)
If the acceleration due to gravity on the surface of Cupid is 1.0 ms-2, what is the acceleration due to gravity on the surface of Zeus? (3)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
a) Define comprehensively Newton’s universal law of gravitation. (2)
b) The average distance of Earth from the Sun is 1.5 x 1011 m. The acceleration due to the Sun’s gravitational field at the Earth is 6.0 x 103 ms-2.
Calculate the approximate mass of the Sun. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Derive an expression for the acceleration due to gravity at the surface of Mars given that the mass of Mars is 6.4 × 1023 kg, and its radius is 3396.2 km. Hence, determine the value for g there. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
In October 2012, European scientists reported the discovery of a planet orbiting the star Alpha Centauri B. The planet was reported to have an orbital radius of 6.0×109 m and an orbital period of 2.8×105 s. The scientists estimated the mass of the planet to be 6.6×1024 kg.
(a) Calculate the mass of the star Alpha Centauri B. (3)
(b) Calculate the gravitational force between the star and the planet. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
A 12 kg rock is initially located at a distance 40 000 km from the centre of Earth, which has a mass of 6.0 × 1024 kg.
Determine the gravitational potential energy of the rock at this location. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Calculate the gravitational potential energy of a binary star system consisting of two stars, each of mass 2 × 1030 kg, separated by a mean distance 150 × 106 km. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Mars has a mass 0.107358 M Earth. The acceleration due to gravity on Mars is 3.75 ms-2.
(a) Calculate the mass of an astronaut on Mars whose weight is 800 N on Earth. (1)
(b) Calculate the weight of the astronaut on Mars. (1)
(c) Determine the radius of Mars relative to the radius of the Earth (RE). Express your answer as a ratio. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
a) Titan and Rhea are moons orbiting Saturn. Titan orbits at a distance of 1.2 x 106 km from the centre of Saturn.
Given that Titan takes exactly three times as long as Rhea to orbit Saturn, calculate the mean distance between the centre of Rhea and Saturn. (3)
b) Given that the mass of Saturn is 5.68 x 1026 kg, calculate the orbital velocity of Rhea. (2)
c) Two new moons of Saturn are discovered. One of the new moon, Cupid, has a mass of 3m and a radius of 3r while the other new moon, Zeus has a mass of m and a radius of 2r, as shown in the diagram below. (2)
If the acceleration due to gravity on the surface of Cupid is 1.0 ms-2, what is the acceleration due to gravity on the surface of Zeus? (3)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
a) Define comprehensively Newton’s universal law of gravitation. (2)
b) The average distance of Earth from the Sun is 1.5 x 1011 m. The acceleration due to the Sun’s gravitational field at the Earth is 6.0 x 103 ms-2.
Calculate the approximate mass of the Sun. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Derive an expression for the acceleration due to gravity at the surface of Mars given that the mass of Mars is 6.4 × 1023 kg, and its radius is 3396.2 km. Hence, determine the value for g there. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
In October 2012, European scientists reported the discovery of a planet orbiting the star Alpha Centauri B. The planet was reported to have an orbital radius of 6.0×109 m and an orbital period of 2.8×105 s. The scientists estimated the mass of the planet to be 6.6×1024 kg.
(a) Calculate the mass of the star Alpha Centauri B. (3)
(b) Calculate the gravitational force between the star and the planet. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.