The problem involves calculating the gravitational force on an astronaut at various distances from the center of the Earth, given the force at the Earth's surface. The subject area is gravitational physics, specifically Newton's law of universal gravitation.
The discussion is ongoing, with various interpretations of how to approach the problem. Some participants provide guidance on using proportional relationships, while others seek clarification on the equations presented. There is no explicit consensus on a single method, but multiple lines of reasoning are being explored.
Participants emphasize the importance of not providing complete solutions, focusing instead on guiding the original poster toward understanding the problem setup and relevant equations.
nil1996 said:You don't need Earth's mass and radius and also G.
We have F=GM1M2/R2
As according to your problem M1 and M2 are not going to change
Use F is inversely proportional to R2
F1/F2=R22/R12
oMovements said:I don't understand how you came up with that equation.
nil1996 said:F=GMearthMman/R2
Now according to the problem it is asked to find the force on the man when its distance from the center of Earth is 2R,4R...etc
So in the formula GMearthMman/R2 we are going to change the distance R.Right?
As everything else in the formula is going to remain constant except R
We can say that F is dirctly proportional to 1/R1
so let F1 be the force of gravity on the man at a distance R from the centre of earth.
Let F2 be the force of gravity on the man at a distance R2 from the centre of earth.
So F1=GMearthMman/R2....1
F2=GMearthMman/(R1)2......2
divide equation 1 by 2 you will get my formula.
For your firsr problem R1=2R and F1=634
put in the above equation you will get F2
haruspex said:Please don't post complete solutions. Just give the questioner a nudge in the right direction.