Solve Astronaut Wrench Problem: Find x_2 from x_1, v

In summary, the conversation discusses a problem where an astronaut throws a wrench with a speed v relative to the spaceship, while initially being at rest at a distance x_1 from the spaceship. The task is to find the final distance x_2 between the spaceship and the wrench, taking into account only internal forces acting upon the system of astronaut and wrench. It is mentioned that the C.M. of the system will remain at the same position throughout the period. There is confusion about finding x_2 and whether x_1 and delta x need to be calculated first. The speaker also asks for suggestions and asks for the other person's work.
  • #1
tigerseye
16
0
This problem is driving me insane:
An astronaut is initially at rest, at a distance x_1 from the spaceship. She hurls a wrench with a speed v, relative to the spaceship. Find the final distance x_2 between the spaceship and the wrench using some or all of the variables given.
 

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  • #2
Only internal forces act upon system astronaut+wrench.
Hence, since the C.M. of this system is at rest relative to the spaceship initially, it (the C.M) will remain at the same position throughout the period.
That is, the C.M of astronaut+wrench will remain at the distance x1 from the spaceship.
 
  • #3
Aren't they looking for the final distance x_2 after the wrench was thrown? So wouldn't you need to first find x_1 and delta x to find x_2?
 
  • #4
I'm still not getting the right answer..any other suggestions?
 
  • #5
I don't know how you're not getting the right answer.
Post your work.
 

1. What is the "Astronaut Wrench Problem"?

The Astronaut Wrench Problem is a well-known mathematical problem in physics that involves finding the position of a thrown wrench in space.

2. How is x_2 related to x_1 and v in the Astronaut Wrench Problem?

x_2 represents the final position of the wrench, x_1 represents the initial position, and v represents the velocity at which the wrench is thrown. x_2 is dependent on both x_1 and v, and can be calculated using mathematical equations and principles.

3. What is the significance of solving the Astronaut Wrench Problem?

The Astronaut Wrench Problem has practical applications in space missions and can help scientists and engineers accurately predict the trajectory of objects in space. It also serves as a useful exercise in physics and mathematics problem-solving.

4. What are some key factors that affect the solution to the Astronaut Wrench Problem?

The solution to the Astronaut Wrench Problem is affected by factors such as the initial position and velocity of the wrench, the force of gravity, and any external forces acting on the wrench. The shape and mass of the wrench may also play a role in the solution.

5. How can the Astronaut Wrench Problem be solved?

The Astronaut Wrench Problem can be solved using mathematical equations and principles such as Newton's laws of motion and the equations of motion. It can also be solved using computer simulations and advanced mathematical modeling techniques.

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