Answer:
284.4233 N/m
Explanation:
k = Spring constant
x = Compression of spring = 14.5 cm
U = Potential energy = 2.99 J
The potential energy of a spring is given by
[tex]U=\dfrac{1}{2}kx^2[/tex]
Rearranging to get the value of k
[tex]\\\Rightarrow k=\dfrac{2U}{x^2}\\\Rightarrow k=\dfrac{2\times 2.99}{0.145^2}\\\Rightarrow k=284.4233\ N/m[/tex]
The spring constant is 284.4233 N/m
