I dont understand how to find the work done

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Homework Help Overview

The discussion revolves around calculating the work done by the brakes of a car that needs to stop before reaching a sign indicating a bridge out, focusing on the concepts of work, acceleration, and kinetic energy in a physics context.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to find the work done by calculating acceleration and mass, using kinematic equations and the work-energy principle. Some participants question the algebra used in the calculations, suggesting potential errors in the original poster's approach.

Discussion Status

The discussion has progressed with participants providing feedback on the original poster's calculations. A correction was made regarding the algebra, leading to a realization of a mistake, which the original poster acknowledges. However, there is no explicit consensus on the final answer or method.

Contextual Notes

The problem is constrained by the assumption of constant negative acceleration and neglecting the weight of the driver. The original poster's calculations are based on these assumptions, but there are indications of confusion regarding the application of the formulas.

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i don't understand how to find the "work" done

A driver of a 7475 N car passes a sign stating "Bridge Out 25 Meters Ahead." She slams on the brakes, coming to a stop in 10 s. How much work must be done by the brakes on the car if it is to stop just in time? Neglect the weight of the driver, and assume that the negative acceleration of the car caused by the braking is constant.W=Fdcos
i tried finding acceleration by doing 25=1/2a(10^2) = .125
then finding mass by doing 7475=m(9.8)= 762.76
and then Fnet = 762.76 x .125 = 95.35
w= 95.35(25) = 2383.63
___________________________________________________

i also tried finding Vf by using 25=1/2(0+Vf)10 = 1.25

then i tried finding kinetic energy by 1/2(7475)(1.25^2)= 5839.84but neither of them are right so i have to be doing something wrong
 
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You had 25=1/2a(10^2) = .125 . ?I think you meant that a = .125, but that's wrong. Check your algebra.
 


is it .5 rather?
 


OH GOSH! i can't believe i made that dumb of a mistake! haha i got the right answer! thank you for correcting my algebra!
 

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