1.The asteroid belt circles the sun between theorbits ofMars and Jupiter. One asteroid has a period of 5.0 earthyears.

a.What is the asteroid's orbital radius?

b.What is the asteroid's orbital speed?

2.What is the gravitational force of the sun ontheearth?

3.What is the gravitational force of the moon ontheearth?

4.The moon's force is what percent of the sun's force?

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(1) An asteroid is moving along a straight line. A force acts along with the displacement of the asteroid and slows it down. The asteroid has a mass of 3.2 x 10^4 kg, and the force causes its speed to change from 7700 to 5700 m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 2.2 x 10^6m, Determine the magnitude of the force.

(2) Rocket Man" has a propulsion unit strapped to his back. He starts from rest on the ground, fires the unit, and accelerates straight upward. At a height of 17 m, his speed is 4.9 m/s. His mass, including the propulsion unit, has an approximately constant value of 131 kg. Find the work done by the force generated by the propulsion unit.

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1. The magnitude of the force the sun exerts on Uranus is1.41X10^21 newtons. Explain how it is possible for the sun to exerta greater forceo n Uranus then Neptune
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9. Gravitational force F exists between point objects A and Bseparated by distanace R. If the mass of A is doubled and distanceR is tripled, what is the new gravitational force between A andB?
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Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s². Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter. (a) 8 m/s² (b) 4 m/s² (c) 2 m/s² (d) 1 m/s² (e) 0.5 m/s²

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