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Recently, an asteroid believed to come from another solar system passed by our sun and is now speeding off into interstellar space. Consider a second asteroid with a mass of Ma = 10* kg observed moving at a speed of velose 4x104 m/s at its shortest distance from the sun, which was r= 3x10 m. The sun's mass is Ms = 2x1030 kg and Newton's universal gravitational constant is G 6x10-11 m³/(kg s?).

Recently, an asteroid believed to come from another solar system passed by our sun and is now speeding off into interstellar space. Consider a second asteroid with a mass of Ma = 10* kg observed moving at a speed of velose 4x104 m/s at its shortest distance from the sun, which was r= 3x10 m. The sun's mass is Ms = 2x1030 kg and Newton's universal gravitational constant is G 6x10-11 m³/(kg s?).

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PM3: please answer question and explain each step with reasoning
Recently, an asteroid believed to come from another solar system passed by our sun and is now speeding off into interstellar space. Consider a second asteroid with a mass of Ma = 10 kg observed moving at a speed of velose 4x104 m/s at its shortest distance from the sun, which was r= 3x10" m. The sun's mass is Ms = 2x1030 kg and Newton's universal gravitational constant is G z 6x10-' m³/(kg s?). a) What was the asteroid's kinetic energy when it was at its nearest point to the sun? b) What will the asteroid's kinetic energy be when it has moved very far away from the sun? c) How fast would the object have to move if it were traveling in a circular orbit at a radius of r = 3x10' m? Ms uns r beasteroid Ma d) How long would it take to complete one orbit around the sun? As always, you may approximate n= 3. If you could not find the speed in part c), you may assume that it is v = 30000 m/s. e) What is the furthest distance from the sun that an object could reach if it were initially moving at the speed you calculated in the part c) starting from the same distance from the sun r = 3x101 m but the direction of its velocity were chosen to maximize how far away it could get from the sun? Welose
Transcribed Image Text:Recently, an asteroid believed to come from another solar system passed by our sun and is now speeding off into interstellar space. Consider a second asteroid with a mass of Ma = 10 kg observed moving at a speed of velose 4x104 m/s at its shortest distance from the sun, which was r= 3x10" m. The sun's mass is Ms = 2x1030 kg and Newton's universal gravitational constant is G z 6x10-' m³/(kg s?). a) What was the asteroid's kinetic energy when it was at its nearest point to the sun? b) What will the asteroid's kinetic energy be when it has moved very far away from the sun? c) How fast would the object have to move if it were traveling in a circular orbit at a radius of r = 3x10' m? Ms uns r beasteroid Ma d) How long would it take to complete one orbit around the sun? As always, you may approximate n= 3. If you could not find the speed in part c), you may assume that it is v = 30000 m/s. e) What is the furthest distance from the sun that an object could reach if it were initially moving at the speed you calculated in the part c) starting from the same distance from the sun r = 3x101 m but the direction of its velocity were chosen to maximize how far away it could get from the sun? Welose
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