Calculating Mechanical Energy Change of 1100kg Car

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Homework Help Overview

The problem involves calculating the change in mechanical energy of a 1100 kg car that descends a hill, transitioning from rest to a speed of 20 m/s after descending a height of 120 m. The relevant concepts include kinetic energy (KE) and gravitational potential energy (PEg).

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of formulas for KE and PEg, with one participant questioning the correctness of their calculations and whether they are missing a key aspect. Another participant suggests that the KE already accounts for the potential energy lost during the descent.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. There is a suggestion that the car's change in mechanical energy may be represented solely by the kinetic energy at the bottom of the hill, indicating a potential direction for further exploration.

Contextual Notes

Participants are considering the implications of energy loss in potential energy as the car descends, and the relationship between kinetic energy gained and potential energy lost. There is a lack of consensus on how to best represent the total change in mechanical energy.

uno
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1. A 1100 kg car at rest at the top of a hill accelerates down the road, reaching a speed of 20 m/s after descending a height of 120 m. What was its total change in mechanical energy (KE plus PEG) as of that moment in Megajoules?



2.KE = 1/2 mv^2 and PEg = mgh



3. I used the above formulas to figure out KE = 2.20E5 and PEg = 1.3E6. When I add both together, I get 1.51E6 and convert it to MJ = 1.51MJ. When I put in the answer, this is incorrect. Am I missing something?
 
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uno said:
1. A 1100 kg car at rest at the top of a hill accelerates down the road, reaching a speed of 20 m/s after descending a height of 120 m. What was its total change in mechanical energy (KE plus PEG) as of that moment in Megajoules?

2.KE = 1/2 mv^2 and PEg = mgh

3. I used the above formulas to figure out KE = 2.20E5 and PEg = 1.3E6. When I add both together, I get 1.51E6 and convert it to MJ = 1.51MJ. When I put in the answer, this is incorrect. Am I missing something?

The KE at the bottom of the hill already includes the m*g*h from the descent. You probably want to just use the KE as the answer.
 
It starts high and ends low, so it LOSES potential energy. It starts at rest and finishes in motion, so it gains kinetic energy. (I think)
 
kraus is right: so how much mechanical energy does the car lose?
 

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