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a) What is the orbital velocity of a shuttle in circular orbit at an altitude of 260km (radius of earth 6400km)? (3)
b) On one such future mission an observation satellite may be launched from orbit.
What is the radius of the satellite if its period is 14 hours? (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
A spherical planet has reading R and mass M. A satellite of mass m orbits the planet with constant orbital speed v at a height h above the planet’s surface as shown below (not to scale)
a) Outline why, although the satellite is moving with constant speed, the net force on it is not zero. (1)
b) Why does a person experience weight on Earth but feel weightless orbiting the Earth in a satellite? (2)
c) A second satellite, mass 2M, is placed into the same orbit. What will be its orbital speed compared to the first satellite? Justify your answer using Physics equations. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
The diagram below shoes a satellite in orbit about the Earth.
The diameter of the Earth is 12 560 km.
a) State the name of the force causing the satellite’s acceleration and show the direction in which it acts, by drawing a vector to represent it on the above diagram. (1)
b) If the satellite is 20 000 km above the surface of the Earth, calculate acceleration of the satellite. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
A spherical planet has radius R and mass M. A satellite of mass m orbits the planet with constant orbital speed v at a height h above the planet’s surface, as shown below (not to scale).
a) Outline why, although the satellite is moving with constant speed, the net force on it is not zero. (1)
b) Why does a person experience weight on the Earth but feel weightless orbiting the Earth in a satellite? (2)
c) A second satellite, mass 2M is placed into the same orbit. What will be its orbital speed compared to the first satellite? Justify your answer using Physics equations. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Derive an expression for the escape velocity of a projectile from any given planet. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
The following image shows the inner rings and moons of Jupiter.
Amalthea’s period takes 0.498 Earth days, and orbits Jupiter at a distance of 181 400 km from Jupiter’s centre of mass. Thebe orbits at 222 000 km. What is the period of Thebe in units of earth hours? (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
If the period of a geostationary Satellite over the equator is 86164 s, calculate the altitude above the Earth’s surface at which the satellite will be positioned. (4)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
A 2000 kg satellite is to be placed in a circular orbit 8000 km above the surface of the Earth.
Assume the Earth’s radius is 6370 km.
(a) Calculate the gravitational potential energy of the satellite before it is launched. (1)
(b) Explain why the energy required to place the satellite in orbit is much greater than the work
required to lift the satellite to the correct height. (3)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Calculate the altitude required above the Earth’s surface for a geostationary satellite to remain in orbit. (Diameter of Earth = 12 742 km.) (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Show how the escape velocity of a rocket is independent of its mass. Use appropriate equations and physics principles to support your response. (2)
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.