Question

Imagine a car involved in a head-on crash. The driver, whose mass is m, is to be brought uniformly to rest within the passenger compartment by compressing an inflated air bag through a distance sc. Write an expression for the average force exerted on the bag in terms of m, vi, and sc. Compute the average force for a 100 km/h collision, where the driver’s mass is 60 kg and the allowed stopping distance in the bag is 30 cm.