An inflatable bag is located in the dashboard of a car

Reference no: EM13672899

An inflatable bag is located in the dashboard of a car. In a collision, the bag expands abruptly and cushions the impact of the passenger. The forward motion of the passenger should be stopped in about 30 cm of motion if contact with the hard surfaces of the car is to be avoided.

1) For a 70-kg person with a 30-cm allowed stopping distance, show that the magnitude of the average force is given by the following expression: F = 117 Vo^2, Newton’s.

Notice that the necessary stopping force increases as the square ofthe velocity of the automobile (and the passenger).

2) Suppose that Vo = 70 km/h and find F.

3) If the force that you evaluated in part b) is uniformly distributed over a 1000-cm^2 area of the passenger's body, discover the applied force per square meter. The estimated strength of body tissue is 500,000 Pa. NOTE: One Pa (Pascal) is a force of 1 N divided by one area of one square meter.

4) Gently, repeat the calculation of part c) with v = 100 km/h. It is safe to say that the force per unit area just calculated would probably injure the passenger?

Reference no: EM13672899

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