Answer :
Answer:
The speed with which the disk slides across the surface is 1.33095 m/s.
Explanation:
Given that,
Mass of disk = 0.14 kg
Spring constant = 155 N/m
Length = 4 cm
We need to calculate the speed
Using energy conservation
[tex]P.E=K.E[/tex]
[tex]\dfrac{1}{2}kx^2=\dfrac{1}{2}mv^2[/tex]
Where, k = spring constant
x = compressed length
m = mass of the disc
Put the value into the formula
[tex]\dfrac{1}{2}\times155\times(4\times10^{-2})^2=\dfrac{1}{2}\times0.14\times v^2[/tex]
[tex]v^2=\dfrac{155\times(4\times10^{-2})^2}{0.14}[/tex]
[tex]v=\sqrt{\dfrac{155\times(4\times10^{-2})^2}{0.14}}[/tex]
[tex]v=1.33095\ m/s[/tex]
Hence, The speed with which the disk slides across the surface is 1.33095 m/s.