Answer:3.38 J
Explanation:
Given
mass of vibrating Particle [tex]m=1 kg[/tex]
Maximum speed of mass is [tex]v=2.6 m/s[/tex]
It is given that Potential Energy of the mass is zero when the mass is at mid point that considering the mid point as datum
So kinetic energy is maximum at mid point while Potential energy is maximum at end points .
As energy is conserved therefore
Total Kinetic Energy at midpoint =Total Potential Energy at Either end points
[tex]P.E.=K.E.=\frac{mv^2}{2}[/tex]
[tex]=\frac{1\times 2.6^2}{2}=3.38 J[/tex]
