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4. A block-spring oscillator exhibits simple harmonic motion with an amplitude A and its maximum speed is Umar (a) Write a mathematical expression for the total energy of an oscillator in terms of its angular frequency, w, mass (m), and its amplitude A. (b) Write a mathematical expression for the total energy of an oscillator in terms of its position (2), mass (m), spring constant (k) and speed (v). 1 (C) When the block's speed is 5 Umar, show that the distance (km) from the central equilib- rium position is: Зmw2 А2 4k 1 (d) When the block's position is A, show its speed (v) is given by: , : v= W = 1 w²A2 KAP 4m