Consider a block with mass m attached to a spring with spring constant k, and the other end of the spring is held stationary. The block is displaced a distance A from the equilibrium position. When the block is released from rest it undergoes simple harmonic motion, and its time-dependent position given by

x(t) = A cos(wt)

Part (a) Enter an expression for the time-dependent elastic potential energy of the spring-block position using only the symbols in the palette.

Part (b) Enter an expression for the time-dependent velocity of the block using only the symbols in the palette.

Part (c) Enter an expression for the time-dependent kinetic energy of the block using only the symbols in the palette

Part (d) Enter an expression for the angular frequency in terms of the other parameters for the simple harmonic motion of the block.

Part (e) Enter an expression for the total energy of the spring-block system using only the symbols in the palette. You may wish to use the expression for w that was entered in the previous step because it is not a symbol provided in the palette.

Part (f) Based upon the result of the previous step, which statement best describes the energy in the simple harmonic oscillator?