The discussion revolves around the relationship between potential energy and acceleration in the context of particle dynamics. Participants are exploring the implications of the equation for potential energy changes and its connection to force and acceleration.
Several participants are actively engaging with the mathematical relationships involved, with some providing insights into derivatives and their implications. There is a recognition of potential errors in sign and calculations, indicating a productive exploration of the topic.
There appears to be some uncertainty regarding the values used in calculations and the assumptions about the signs of forces and accelerations. Participants are also reflecting on the implications of their results in terms of physical meaning.
The derivative of potential energy equals force (Fx = -dU/dx). So the derivative would turn it to be: -C/(x2). Then it's just plugging in from there, correct?gneill said:
For the acceleration, I got -0.0011 m/s^2. Does that seem too small?gneill said:
The magnitude looks good but its sign is suspect. Check the details of your derivative.reminiscent said:
Why isn't it negative, though? Since Fx = -dU/dx, wouldn't it be Fx = -(-C*-1*x-2)? It will still be negative.gneill said:
Oops. You're quite right. My mistake.reminiscent said:
