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Draw a plots of mechanical energy , pot...

Draw a plots of mechanical energy , potential energy and kinetic versus dispalcement for different position of a motion of block attached to a spring .

Text Solution

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The equation of mechanical energy for a block attached to the end of spring at the point between maximum distance `x_(m)` and zero is ,
`E = 1/2 kx_(m)^(2)`
Equation of potential energy is `V(x) = 1/2 kx_(m)^(2)`
and equation of kinetic energy is `K= 1/2 mv_(m)^(2)`
At equilibrium position x 0 the speed is maximum and hence the kinetic energy ia maximum that means `1/2 mv_(m)^(2) = 1/2 kx_(m)^(2)`

` :. ` Graph of energies `to ` displacement
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