Answer:
13.12 m/s
Explanation:
According to the law of energy conservation, the maximum speed of the block occurs when all the spring potential energy is converted to block kinetic energy. That is:
[tex]E_s = E_k[/tex]
[tex]\frac{1}{2}kx^2 = \frac{1}{2}mv^2[/tex]
[tex]v^2 = \frac{kx^2}{m}[/tex]
[tex]v = \sqrt{\frac{kx^2}{m}} = x\sqrt{\frac{k}{m}}[/tex]
we can substitute m = 0.75 kg, k = 82 N/m, and x = 0.12m
[tex]v = 0.12\frac{82}{0.75} = 13.12 m/s[/tex]
