Question

A 1,000 kg car is moving on a downward road at a speed of 50 km/h when it hits a protective barrier. In this example, the barrier is simplified as being equivalent to a spring, having a constant of 10,000 N/m, as represented in the figure below. Figure 2 We consider friction between the tyres and the road, with a friction coefficient of 0.6. The angle of the slope with the horizontal is 0-30° and the distance between the car at the top of the hill and the barrier is 100 m. Draw the Free Body Diagrams when the car is at the top of the hill and when it collides against the barrier. Explain the difference. * Ensure you identify all forces. Label forces appropriately. Ensure zero ambiguity 1. between terms. » Include axis

2. Calculate the speed of the car when it reaches the barrier but has not compressed the barrier yet.

3. Determine the energy lost by friction.

4. Calculate the maximum compression of the spring barrier. Explain your reasoning.

5. Assuming that the car bounces off the spring barrier with no loss of energy, how far does the car slide on this road before stopping?

6. Determine the maximum deceleration experienced by the occupants and the corresponding maximum force exerting by the car on the barrier. Explain.

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