Question

Suppose that the car is stopped from 27m/s within right after the collision and the driver 75kg didn’t push the brake.Seatbelt is non-stretchable and produces a constant force to stop the driver in 10 cm . Calculate the acceleration of the driver and the force that the seatbelt acts on the driver for above two conditions.

Answer 1

$E=\frac{mv^2}2,$

$A=Fs,$

$E=A,$

$F=\frac{mv^2}{2s}=273~kN,$

$a=\frac Fm=3645~\frac{m}{s^2}.$