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A planet is in a circular orbit around a star. The speed of the planet is constant. The following data are given: Mass of planet
A planet is in a circular orbit around a star. The speed of the planet is constant. The following data are given:
Mass of planet
Mass of star
Distance from the star to the planet
a Explain why a centripetal force is needed for the planet to be in a circular orbit.
b Calculate the value of the centripetal force.
c A spacecraft is to be launched from the surface of the planet to escape from the star system. The radius of the planet is
i Show that the gravitational potential due to the planet and the star at the surface of the planet is about
ii Estimate the escape speed of the spacecraft from the planetstar system.
a The moon Phobos moves around the planet Mars in a circular orbit.
i Outline the origin of the force that acts on Phobos.
ii Outline why this force does no work on Phobos.
b The orbital period of a moon orbiting a planet of mass is given by where is the average distance between the centre of the planet and the centre of the moon.
i Show that
ii The following data for the MarsPhobos system and the EarthMoon system are available:
Mass of Earth
The EarthMoon distance is times the MarsPhobos distance.
The orbital period of the Moon is times the orbital period of Phobos.
c The graph shows the variation of the gravitational potential between Earth and the Moon with distance from the centre of Earth. The distance from the Earth is expressed as a fraction of the total distance between the centre of Earth and tha centre of the Moon.
i Show that the gravitationet and the star at about from the planetstar system. i Outline the
ii Outline why this force does no work on Phobos.
and the EarthMoon system are available:
Mass Earth
The EarthMoon distance is times the MarsPhobos distance. The orbital period of the Moon is times the orbital period of Phobos.
Calculate, in kg the mass of Mars.
Determine, using the graph, the mass of the
An electron is placed at a distance of froma fixed point charge of
a Show that the electric field strength due to the point charge at the position of the electron is
b i Calculate the magnitude of the initial acceleration of the electron.
ii Describe the subsequent motion of the electron.
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