Professional Application A 75.0-kg person is riding in a car moving at 20.0 m/s when the car runs into a bridge abutment. (a) Calculate the average force on the person if he is stopped by a padded dashboard that compresses an average of 1.00 cm. (b) Calculate the average force on the person if he is stopped by an air bag that compresses an average of 15.0 cm.

Step-by-step solution In this problem a person is riding a car at certain speed so, calculate the average force on the person when he stops as per the given data when the car runs into a bridge abutment and also calculate the average force on the person if he stopped by an air bag. Step 1 of 8 (a) The expression of exerted force is: …… (1) Here, is the mass of the person, is the change in velocity and is the time space. Step 2 of 8 Use the formula to get the change in velocity , …… (2) Here, is the initial velocity of car and is the final velocity when one is stopped by a padded dashboard. Step 3 of 8 Substitute for and for in equation (2) and get, Step 4 of 8 The dashboard is compressed by 1.00 cm. So, the time took for the compression is: