Question

A person has a reasonable chance of surviving an automobile crash if the deceleration is no more than 30 g’s.

Calculate the force on a 65-kg person accelerating at this rate.

Answer 1

19,110 Newtons of force are applied to a 65 kg individual who is accelerating at a rate of 30 g's.

To solve this problem

The second law of motion proposed by Newton, which states that force (F) is equal to mass (m) times acceleration (a), can be applied.

In this instance, the individual's mass is reported as 65 kg, and their acceleration is 30 g. To apply the acceleration in the formula, we must first convert it from g to meters per second squared
`(m/s^2).`

`9.8 m/s^2` is equal to 1 g. 30 g would therefore equal 30 times
`9.8 m/s^2.`

Now, Let's calculate the acceleration:

Acceleration =
`30 g's * 9.8 m/s^2/g = 294 m/s^2`

Finally, we can plug the values into the formula:

Force = mass * acceleration

Force =
`65 kg * 294 m/s^2`

Calculating the force:

Force = 19,110 N

So, 19,110 Newtons of force are applied to a 65 kg individual who is accelerating at a rate of 30 g's.