Question

An occupant of a car has a chance of surviving a crash if the deceleration during the crash is not more then 30 g. Calculate the force on a 70k g decelerating at this rate

Answer 1

Answer:

20,850 N

Explanation:

We can solve the problem by using second Newton's Law:

$F=ma$

where

F is the force

m is the mass

a is the acceleration

In this problem, we have:

m = 70 kg is the mass

$a=-30 g=-30 (9.8 m/s^2)=-294 m/s^2$ is the acceleration (which is negative, because it is a deceleration)

So, we can use the equation above to find the force:

$F=(70 kg)(-294 m/s^2)=-20580 N$

and the negative sign simply means that the force is in the opposite direction to the motion.