Answer:
315.5 N/m
Explanation:
m = 500 g = 0.5 kg
T = 0.25 second
Total energy, E = 4 J
Let K be the spring constant.
The formula for the time period is given by
[tex]T = 2\pi \sqrt{\frac{m}{K}}[/tex]
[tex]0.25 = 2\times 3.14\times \sqrt{\frac{0.5}{K}}[/tex]
[tex]0.0398=\sqrt{\frac{0.5}{K}}[/tex]
[tex]1.585\times 10^{-3}={\frac{0.5}{K}}[/tex]
K = 315.5 N/m
