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Which of the planets in the Solar System has the most moons?SaturnUranusNeptuneJupiter2Gravity provides the centripetal force which causes the Moon to orbit the Earth.  In which direction does this centripetal force act?In the same direction in which the Moon is moving at a given point in timeOpposite to the direction in which the Moon is moving at a given point in timeFrom the Moon to the EarthFrom the Earth to the Moon3A satellite is in a stable circular orbit around the Earth.  A small rocket on board the satellite is used to increase its orbital speed.  What effect will this have on the satellite?It impossible to say how it will affect the radius of its orbit without knowing the initial orbital radius and mass of the satelliteIt will cause the radius of its orbit to increaseIt will cause the radius of its orbit to decreaseIt will have no effect on the radius of its orbit4Mercury is approximately 58 million kilometres from the Sun, and has an orbital period of 88 days.  Calculate the speed at which it orbits the Sun.47.93 km/s7.63 km/s0.82 km/s4.14 km/s

Question

Which of the planets in the Solar System has the most moons?SaturnUranusNeptuneJupiter2Gravity provides the centripetal force which causes the Moon to orbit the Earth.  In which direction does this centripetal force act?In the same direction in which the Moon is moving at a given point in timeOpposite to the direction in which the Moon is moving at a given point in timeFrom the Moon to the EarthFrom the Earth to the Moon3A satellite is in a stable circular orbit around the Earth.  A small rocket on board the satellite is used to increase its orbital speed.  What effect will this have on the satellite?It impossible to say how it will affect the radius of its orbit without knowing the initial orbital radius and mass of the satelliteIt will cause the radius of its orbit to increaseIt will cause the radius of its orbit to decreaseIt will have no effect on the radius of its orbit4Mercury is approximately 58 million kilometres from the Sun, and has an orbital period of 88 days.  Calculate the speed at which it orbits the Sun.47.93 km/s7.63 km/s0.82 km/s4.14 km/s

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Solution

  1. The planet in the Solar System with the most moons is Jupiter.

  2. The centripetal force which causes the Moon to orbit the Earth acts from the Earth to the Moon.

  3. If a small rocket on board a satellite is used to increase its orbital speed, it will cause the radius of its orbit to increase.

  4. To calculate the speed at which Mercury orbits the Sun, we first need to find the circumference of its orbit, which is 2 * pi * the distance from the Sun (58 million km). This gives us approximately 364.5 million km. Since there are 88 days in Mercury's orbital period, and 24 hours in a day, and 60 minutes in an hour, and 60 seconds in a minute, there are about 7.6 million seconds in Mercury's orbital period. So, the speed at which Mercury orbits the Sun is the circumference of its orbit divided by the time it takes to complete one orbit, or about 47.93 km/s.

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