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

In summary, the conversation discusses using a graph of energy vs. time to find force by using the work equation and integrating the curve to find the total energy. However, this will only give average force. To find maximum force, the velocity and change in energy at a specific point need to be calculated and related to force.
  • #1
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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  • #2
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?
 

1. How do you determine the max force from a 1-dimensional energy curve as a function of time?

The max force can be determined by finding the point on the energy curve where the slope is steepest. This can be done by taking the derivative of the energy curve with respect to time and setting it equal to zero. The value of time at this point will correspond to the max force.

2. Why is it important to find the max force from an energy curve?

The max force is a crucial parameter in understanding the dynamics of a system. It can help determine the stability and performance of a system, as well as identify any potential issues or limitations.

3. What units are used to measure force in this context?

In this context, force is typically measured in Newtons (N) or pounds (lbs). However, any unit of force can be used as long as it is consistent throughout the calculations.

4. Can the max force be found using only the energy curve?

Yes, the max force can be found solely from the energy curve. This is because energy and force are directly related through the equation F = dE/dx, where F is force, E is energy, and x is position. Therefore, the energy curve contains all the necessary information to calculate the max force.

5. Are there any limitations to finding the max force from an energy curve?

One limitation is that the energy curve must be continuous and smooth. If there are sudden changes or discontinuities in the curve, it may be difficult to accurately determine the max force. Additionally, the energy curve only provides information about the max force at a specific point in time and does not account for any changes or fluctuations in the force over time.

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