Physics Β· Unit 3 Β· Gravity and motion Β· Projectile motion
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Two satellites, P and Q, orbit Earth at different altitudes. Satellite P orbits at distance r from Earth's centre and experiences gravitational force F. Satellite Q, with the same mass as P, orbits at distance 3r from Earth's centre. What is the gravitational force experienced by satellite Q?
A space probe with a mass of \( 950 \) kg is positioned on a direct line between Mars and one of its moons, Phobos. The distance between the centres of Mars and Phobos is \( 9.38 \times 10^{6} \) m. The mass of Mars is \( 6.39 \times 10^{23} \) kg and the mass of Phobos is \( 1.07 \times 10^{16} \) kg. The probe experiences equal magnitude gravitational forces from Mars and Phobos. (a) Determine the distance of the probe from the centre of Mars. Show your working. (3 marks) (b) Calculate the magnitude of the gravitational force exerted on the probe by Mars at this position. Show your working. (1 mark)
A space probe with mass \(2{,}400\) kg is positioned \(8.5 \times 10^6\) m from the centre of Mars. A communications satellite with mass \(650\) kg orbits Mars at a distance of \(4.2 \times 10^6\) m from the planet's centre. The mass of Mars is \(6.42 \times 10^{23}\) kg. (a) Calculate the gravitational force acting on the space probe. (b) Determine the ratio of the gravitational force on the space probe to the gravitational force on the satellite.
Two spherical objects with masses 48.0 kg and 52.0 kg are separated by a distance of 2.40 m. What is the magnitude of the gravitational force of attraction between them?