Draw plots of mechanical energy,potential energy,and kinetic energy versus displacement for different positions of a block attached to a spring.

(N/A) For a block attached to a spring,the total mechanical energy $E$ is constant and is given by $E = \frac{1}{2} k x_{m}^{2}$,where $k$ is the spring constant and $x_{m}$ is the amplitude.
The potential energy $V(x)$ at any displacement $x$ is given by $V(x) = \frac{1}{2} k x^{2}$.
The kinetic energy $K(x)$ at any displacement $x$ is given by $K(x) = E - V(x) = \frac{1}{2} k (x_{m}^{2} - x^{2})$.
At the equilibrium position $(x = 0)$,the potential energy is zero and the kinetic energy is maximum,$K_{max} = \frac{1}{2} k x_{m}^{2}$.
At the extreme positions $(x = \pm x_{m})$,the kinetic energy is zero and the potential energy is maximum,$V_{max} = \frac{1}{2} k x_{m}^{2}$.

Displacement $(x)$	Kinetic Energy $(K)$	Potential Energy $(V)$	Total Energy $(E)$
$x_{m}$	$0$	$\frac{1}{2} k x_{m}^{2}$	$\frac{1}{2} k x_{m}^{2}$
$0$	$\frac{1}{2} k x_{m}^{2}$	$0$	$\frac{1}{2} k x_{m}^{2}$
$-x_{m}$	$0$	$\frac{1}{2} k x_{m}^{2}$	$\frac{1}{2} k x_{m}^{2}$