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A car and driver weighing 5060N passes a sign stating "Bridge out 27.5 meters ahead." She slams on the brakes and the car decelerates at a constant rate of 14 m/s^2. The acceleration of gravity is 9.8 m/s^2. What is the magnitude of the work done stopping the car if the car just stops in time to avoid diving into the water?
Answer in units of J.

Respuesta :

Answer:

198785.714286 Joules

Explanation:

[tex]W=f*d[/tex]

[tex]F=ma\\F=516.326530612*-14\\F=-7228.57142857 N\\[/tex]

To find work:

Now that the force and the distance are known, plug and chug:

[tex]W=f*d\\W=-7228.57142857*27.5\\W=-198785.714286J[/tex]

Note that the question is asking for the magnitude of work, so the negative can be discarded as it is a directional component.

So, your answer is

198785.714286 Joules

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