Answer:
[tex]F=\frac{1}{2d}mv^2=1/(2*0.65)*47*(19.2)^2=13328N[/tex]
Explanation:
[tex]v=69km/h*(1000m/1km)*(1h/3600s)=19.2m/s[/tex]
In order to solve this problem we use the Energy-Work principle. The change in total energy is equal to the work done on the system:
[tex]E_{final}-E_{initial}=Work[/tex]
the initial energy is only kinetics, the final energy is zero, and the work is negative and made by the constant force of the airbag:
[tex]0-\frac{1}{2}mv^2=-F*d[/tex]
[tex]F=\frac{1}{2d}mv^2=1/(2*0.65)*47*(19.2)^2=13328N[/tex]