Undergrad How to Calculate Fall Duration with Variable Force?

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To calculate the fall duration of an astronaut 20 meters from a shuttle under gravitational force, one must consider the gravitational attraction between the two masses. The astronaut's weight is assumed to be 100 kg, while the shuttle's mass is 10,000 kg, with the fall distance measured from their centers of mass. The discussion highlights the need for clarity in the question and suggests using Newton's laws for calculations. A request for a structured approach to the problem was made, indicating the need for a homework template to guide the solution. The thread concludes with a recommendation to explore related physics discussions for further understanding.
Dylanden
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Hello.

How can one calculate the duration of fall of an astronaut "lost" to 20 m of his shuttle? We can assume that they are stopped at the beginning of the fall.
I do not see how.

Dylan
 
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Dylanden said:
Hello.

How can one calculate the duration of fall of an astronaut "lost" to 20 m of his shuttle? We can assume that they are stopped at the beginning of the fall.
I do not see how.

Dylan
Your question is completely unclear. I cannot figure out WHAT you are trying to ask.
 
Hello.

Thank you for your answer

I just want to make an exercice for my lesson.
Imagine we have a shuttle in the space and an astronaut at about 20 m from its.
How many time does it take to the astronaut to fall on his shuttle.
There is only the gravitational force in action.
Sorry for my poor english.

Dylan
 
Dylanden said:
Hello.

Thank you for your answer

I just want to make an exercice for my lesson.
Imagine we have a shuttle in the space and an astronaut at about 20 m from its.
How many time does it take to the astronaut to fall on his shuttle.
There is only the gravitational force in action.
Sorry for my poor english.

Dylan
(1) Uh ... do you think it matters how much mass is involved?
(2) You say "about 20m from it" but that's probably 20m from the SKIN. How far from the center of mass?

You really don't seem to have thought through what you need to know to make this a meaningful question.
 
Hello.

It's only for my mechanics class.
To illustrate the gravitational forces.
Let's say that the astronaut weighs 100 kg.
And the shuttle 10000 kg. For simplicity.
And that the distance of 20 m is measured between the centers of mass. And that the astronaut must arrive 5 m from the center of mass of the shuttle to be able to seize it with his hand.
My students are francophones. They asked the question on different physics sites in French. I have not read all the answers yet. But it's very confusing. I hope you can help me.
I tried to integrate Newton's laws. To find the duration. I can not do it.

Good day there.

Dylan
 
Last edited:
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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