Jupiter has been referred to as a giant vacuum because of it\'s role in removing

Question

Jupiter has been referred to as a giant vacuum because of it's role in removing small asteroids and comets from the solar system. The main reason why it can suck these smaller bodies in is because of it's large gravitational attraction. The mass of Jupiter is 1.90x1027 kg and the mass of the Sun is  1.99x1030  kg.

c.How many times greater is the force due to Jupiter than from the Sun?

Please explain your answers. Thanks

Jupiter has been referred to as a giant vacuum because of it's role in removing small asteroids and comets from the solar system. The main reason why it can suck these smaller bodies in is because of it's large gravitational attraction. The mass of Jupiter is 1.90x1027 kg and the mass of the Sun is 1.99x1030 kg. a.Calculate the amount of force exerted on a 525,000 kg asteroid which is at a distance of 1 million miles ( {rm 7.78 x 10}^{rm 11} m from the Sun. c.How many times greater is the force due to Jupiter than from the Sun? Please explain your answers. Thanks {rm 1.61 x 10}^{rm 9} m) from Jupiter. b.Calculate the amount of force exerted the same asteroid at a distance of

Explanation / Answer

You have all the equations, it's just plug and chug a) the force exerted on the asteroid by jupiter = 25,667m kg/s b) the force exerted on the asteroid by the sun is 115m kg/s c)25667/115 is approximately 223. That is, the force exerted on the asteroid by jupiter is 223x the force exerted on the asteroid by the sun. this answer is plausible because you have to remember that the gravitational force is extremely weak over long distances.

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