Finding PE given mass, distance, and energy lost.

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To find the potential energy (PE) of a vehicle with a mass of 4000 kg that travels 800 m, while losing 75% of its energy to heat and friction, the initial PE must be calculated. The formula PE = mgh is relevant, but the height (h) is not provided, complicating the calculation. The discussion suggests exploring alternative formulas, such as relating PE to the vehicle's speed at the end of the distance. The user is seeking additional insights due to insufficient information from the assignment. Overall, the challenge lies in determining the height or another variable to complete the PE calculation.
Adam Affagal
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Homework Statement


I'm supposed to find the potential energy at the start of a system for a vehicle given that the mass is 4000kg, the total distance traveled is 800m, and 3/4 of the total energy is lost to heat and friction by the end of the distance traveled (it's assumed that the vehicle starts from rest). Now, I know I can easily solve for a variable, but given this information I'm under the impression that I need to get a numerical answer. It's frustrating because I feel like I am not taking something into account.

Homework Equations


PE = mgh

The Attempt at a Solution


I've come up with really just substitution for the variables, so:
PE = 4500kg*9.8m/s^2*h.
 
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Is that all of the information that you have been given? It's not enough.
 
jbriggs444 said:
Is that all of the information that you have been given? It's not enough.
Unfortunately, yes. I have scoured over my worksheet - nothing. I've since emailed my professor, but any further input you guys have would be appreciated.
 
You could try finding a formula for potential energy in terms of some other variable. For instance, as a function of speed at the end of the run.
 

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