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A car and driver weighing 7130 N passes a sign stating...?
"Bridge Out 32 m Ahead." She slams on the brakes, and the car decelerates at a constant rate of 13.8 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?

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Answer:

321 280 J

Explanation:

Work done =  force * distance

The distance is 32 m

The force can be calculated using the second law of motion

F = ma = (7130 N ÷ 9.8 m/s²) * 13.8 m/s² = 10 040 N

Work done =  force * distance

                   = 10 040 N * 32 m

                   = 321 280 J

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