Finding max force from (1 dimensional) energy curve as function of tim

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SUMMARY

The discussion focuses on calculating force from a one-dimensional energy curve represented as a graph of energy (in Joules) versus time (in seconds). The user correctly identifies the work equation W = Force * Distance to find average force but seeks clarification on determining maximum force. Key insights include the need to integrate the energy curve to find total energy and the importance of velocity and energy change at specific points to calculate instantaneous force.

PREREQUISITES
  • Understanding of the work-energy principle (W = FD)
  • Basic calculus for integration
  • Knowledge of energy and power concepts
  • Familiarity with kinematic equations relating force, mass, and acceleration
NEXT STEPS
  • Learn about instantaneous force calculation from energy changes
  • Study integration techniques for energy curves
  • Explore the relationship between velocity and force in physics
  • Investigate the concept of power and its distinction from energy
USEFUL FOR

Students in physics, engineers working with energy systems, and anyone interested in the dynamics of force and energy relationships.

sciencerocks
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Homework Statement



Hi guys,

I just wanted to confirm I am doing this right. I have a graph of energy (Joules) vs. time (seconds). I need to get the force from this information. If I know the linear distance the object has traveled, can I use the work equation W= Force* Distance, and solve for force. Also I know this will give me average force, How do I find maximum force.

Thank you


Homework Equations



W=FD

The Attempt at a Solution



Integrate the curve to find the total energy, then use the formula above to find the force since I already know the distance, however this will only give me average force.
 
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Integrate the curve to find the total energy
If I understand your problem statement correctly, your graph shows the energy, not the power. There is no need to integrate it.

To find the force at a specific point, you need the velocity and the change in energy at that point. Can you calculate that? Can you relate those two to a force?
 

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