Answer:
The speed of disk is 1.98 [tex]\frac{m}{s}[/tex]
Explanation:
Given:
Mass of [tex]m = 0.099[/tex] kg
Spring constant [tex]k = 244 \frac{N}{m}[/tex]
Compression of spring [tex]x = 4 \times 10^{-2}[/tex] m
From energy conservation theorem,
Spring potential energy converted into kinetic energy,
[tex]\frac{1}{2} m v^{2} = \frac{1}{2} k x^{2}[/tex]
[tex]v = \sqrt{\frac{k x^{2} }{m} }[/tex]
[tex]v = \sqrt{\frac{244 \times 16 \times 10^{-4} }{0.099} }[/tex]
[tex]v = 1.98 \frac{m}{s}[/tex]
Therefore, the speed of disk is 1.98 [tex]\frac{m}{s}[/tex]
