Answer:
7664.06249 N/m
Explanation:
m = Mass of mug = 0.5 kg
x = Compression of spring = 0.08 m
h = Height of fall = 5 m
g = Acceleration due to gravity = 9.81 m/s²
The kinetic energy of the spring and potential energy of the fall are conserved
[tex]\frac{1}{2}kx^2=mgh\\\Rightarrow k=\frac{2mgh}{x^2}\\\Rightarrow k=\frac{2\times 0.5\times 9.81\times 5}{0.08^2}\\\Rightarrow k=7664.06249\ N/m[/tex]
The spring constant of the spring is 7664.06249 N/m
