The mass of the Sun is approximately 333,000 times that of the Earth, and the mass of the Earth is 6 * 1024 kg. The Earth orbits the Sun in (approximately) a circle of radius 150 million km. Let's say an asteroid of mass 1000 kg happens to be orbiting the Sun in a circle of the same radius as the Earth, but the orbit is tilted relative to that of the Earth  The distance between the asteroid and the Earth could be large (

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The mass of the Sun is approximately 333,000 times that of the Earth, and the mass of the Earth is 6 * 1024 kg. The Earth orbits the Sun in (approximately) a circle of radius 150 million km. Let's say an asteroid of mass 1000 kg happens to be orbiting the Sun in a circle of the same radius as the Earth, but the orbit is tilted relative to that of the Earth 

The distance between the asteroid and the Earth could be large (a) or small (b). When the asteroid gets too close to the Earth, it will be deflected by Earth's gravity. 

(a) If the asteroid feels only the gravitational force of the Sun, then this force is  ______ Newton (pick the closest answer).

(b) If the asteroid is at a distance of 250,000 km from the Earth, the force it feels from the Earth is _____  Newtons (pick the closest answer).

All distances above are measured between the centers of mass. 

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