Final answer:
To calculate the force on a 90-kg person decelerating at 30 g's, multiply the mass by the acceleration (30 g's, with 1g = 9.8 m/s²), resulting in a force of 26,460 newtons.
Step-by-step explanation:
A person has a reasonable chance of surviving an automobile crash if the deceleration is no more than 30 "g 's." To calculate the magnitude of the force on a 90-kg person accelerating at this rate, we use the equation F = ma, where m is the mass (90 kg) and a is the acceleration. Since 1g is equivalent to 9.8 m/s², 30g is 30 × 9.8 m/s², which gives us an acceleration of 294 m/s². Therefore, the force applied on the person would be F = 90 kg × 294 m/s², which equals 26,460 N (newtons). This force is considered to be the maximum reasonable force that allows for the survivor of an automobile crash.