Answer:
0.0001501 m
Explanation:
g = Acceleration due to gravity = 9.81 m/s²
k = Spring constant = [tex]2.8\times 10^7\ N/m[/tex]
x = Compression of spring
F = Force = Mg
Mass of passengers
[tex]M=30\times 80=2400\ kg[/tex]
Each spring supports the following mass
[tex]m=\frac{2400}{8}=300\ kg[/tex]
Force of spring
[tex]F=kx\\\Rightarrow x=\frac{F}{k}\\\Rightarrow x=\frac{mg}{k}\\\Rightarrow x=\frac{300\times 9.81}{2.8\times 10^7}\\\Rightarrow x=0.0001051\ m[/tex]
The car moves down by 0.0001501 m
