The discussion revolves around the application of the Work-Energy Theorem in the context of variable acceleration, specifically examining a scenario involving distances of 20m and 50m. Participants are exploring whether the same speed can be achieved at both distances given the conditions of variable force.
The discussion is active with participants offering different perspectives on the applicability of Newton's second law and kinematic equations. Some suggest that while constant acceleration equations cannot be used, there are analytical methods available for variable acceleration that could provide insights.
There is a focus on the implications of variable force and acceleration, with participants noting the need to clarify the conditions under which the Work-Energy Theorem can be applied. The original poster expresses uncertainty about the methodology for the 50m scenario.
Not sure what you mean. Do you mean it cannot be checked analytically? It can. You would need to express the variable force as a function of x and integrate with respect to x to find the work done.PAstudent said:
Yes, but that says using "constant acceleration" kinematics. As you say, it is not constant acceleration. But it can be checked analytically by using kinematics that cope with variable acceleration because the nature of that variation is known exactly.PAstudent said: