(4%) Problem 24: Consider a block with mass [11 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((nt) Q 17 % Part (3) Enter an expression for the time-dependent elastic potential energy of the spring-block position using only the symbols in the palette. Grade Summary U\") = U2 k2 A COS((.Ut)l Deductions Potential 100 % cos(tnt) HOME Submissions , Attempts remaining: _ 5111((90 ' (_ per attempt) tan(th) a detailed view 1 END A 2 k DEL CLEAR 3 4 Submit ' I 1 give up! Hints: i for a deduction. Hints remaining: i Feedback: deduction per feedback. -Recall that the Hooke's Law spring force depends linearly on position. The dependence of the associated potential-energy function on position is quadratic. Submission History AH Dcm' rims-s are displayed in Cmrrai Stimdm-d TIJ'HE'.R'd submission dare times indicate- {are work. Date Time Answer Hints Feedback 1 May 23, 2023 11:50 PM Um : 112 k2 -Recall that the Hooke's Law spring force depends linearly on position. The dependence of the associated potential- energy function on position is quadratic. 2 May 23, 2023 11:55 PM um : 112 k2 cos((nt) 3 May 23, 2023 11:55 PM U(t) = 112 k2 SinUl) 4 May 23, 2023 11:56 PM U(t) = 112 k2 [3110111) 5 May 23, 2023 11:56 PM U\") ; 112 k2 A 6 May 23,2023 11:57 PM Um : 112 It 50504")?- 7 May 23, 2023 11:57 PM U(t) = 1:2 k2 cos((nt) A 8 May 23,2023 11:53 PM U(t) = 1:2 k2 A cos(th) (is 17% Part (b) Enter an expression for the time-dependent velocity of the block using only the symbols in the palette. g3 17% Part (c) Enter an expression for the time-dependent kinetic energy of the block using only the symbols in the palette. A 17% Part (d) Enter an expression for the angular frequency in terms of the other parameters for the simple harmonic motion of the block. A 17% 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 to that was entered in the previous step because it is not a symbol provided in the palette. g 17% Part (1) Based upon the result of the previous step. which statement best describes the energy in the simple harmonic oscillator