How much work is done when moving an object from x_1 to x_2?

  • Thread starter Thread starter ~angel~
  • Start date Start date
  • Tags Tags
    Work
Click For Summary
SUMMARY

The work done by the hand when moving an object from position x_1 to x_2 against an attractive force F_x = -k/x² is calculated by integrating the force over the distance. The work done by the hand is equal to the change in potential energy of the object, represented as W = k/x_1 - k/x_2. This relationship is crucial for understanding the dynamics of forces in physics, particularly in gravitational and electrical contexts.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of work and energy in physics
  • Knowledge of integration techniques in calculus
  • Basic principles of gravitational and electrical forces
NEXT STEPS
  • Study the principles of work-energy theorem in classical mechanics
  • Learn about potential energy in gravitational and electrical fields
  • Explore integration methods for calculating work done by variable forces
  • Investigate real-world applications of force-distance relationships
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in the mathematical modeling of forces and work in physical systems.

~angel~
Messages
150
Reaction score
0
Please help with this question...whatever answer I put in is wrong.

An object is attracted toward the origin with a force given by
F_x = - k / x^{2}. (Gravitational and electrical forces have this distance dependence.)

The only other force acting on the object is a force that you exert with your hand to move the object slowly from x_1 to x_2. How much work do you do?


I know the work of the force of the object is k/x_2 - k/x_1, after you integrate it. But this is the work done by the force exerted with your hand and I'm getting confused. Any help would be very much appreciated. :)
 
Physics news on Phys.org
We recently had a question that seems to be exactly the same. Have a look at it in this thread. Hope that it helps you.
 
Yup...the person must be doing the same unit of study as me...lol. Stupid assignment...thank you so much. :)
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
4
Views
3K
Replies
9
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
12
Views
2K
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 10 ·
Replies
10
Views
2K