Draw a plots of mechanical energy, potential energyand kineticversus dispalcementfor different position of a motion of blockattached to a spring .

Draw a plots of mechanical energy, potential energyand kineticversus d

1.	Draw a plots of mechanical energy, potential energyand kineticversus dispalcementfor different position of a motion of blockattached to a spring .
Answer» Solution :The EQUATIONOF mechanicalenergyfor a blockattachedto the end of spring at the pointbetween maximum distance`x_(m)` and zero is , `E = 1/2 kx_(m)^(2)` Equationof potential energy is `V(x) = 1/2 kx_(m)^(2)` and equation of KINETICENERGY is `K= 1/2 mv_(m)^(2)` At equilibrium positionx0the speed ismaximumand hencethe kineticenergy ia maximumthat means `1/2 mv_(m)^(2) = 1/2 kx_(m)^(2)` ` :. ` Graphof energies `to ` displacement