E=1/2mv^2 Given E and change in velocity

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SUMMARY

The discussion centers on calculating the mass of a car using the work-energy principle, specifically the equation E=1/2mv^2. Given that 185 kJ of work is required to accelerate the car from 23.0 m/s to 28.0 m/s, the correct approach involves determining the change in kinetic energy. The user confirmed that the mass can be derived by rearranging the equation to solve for m, using the change in velocity to find the kinetic energy difference.

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  • Understanding of the work-energy principle
  • Familiarity with kinetic energy equations
  • Basic algebra for rearranging equations
  • Knowledge of units for energy (kJ) and velocity (m/s)
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LoganNagol
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Homework Statement


It takes 185 kJ of work to accelerate a car from 23.0 m/s to 28.0 m/s. What is the car’s mass?

Homework Equations


E=1/2mv^2

The Attempt at a Solution


I get that I must put (2E) over V2 I am just not sure if I was allowed to put the change in velocity so it would look like this. (2E)/(V12 - V02)
If it is correct will someone please tell me why?
 
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Why don't you calculate it and then check the kinetic energy of the car befoere and after the velocity change?
 
Thanks! I got the answer correct.
 

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