a block of mass on a horizontal frictionless table Find the efficiency of the cy

Question

a block of mass on a horizontal frictionless table Find the efficiency of the cycle in terms of P_0 & V_0. A block of mass m, on a horizontal frictionless table is attached to the right end of a spring (force constant, k = 150 N/m); the spring's left end is fixed. At t = 0, the block is compressed to the left x_0 = -0.08 m from its equilibrium position and released v_0 = 0. The block makes 5 complete oscillations in 10 s. Find frequency the distance (not displacement traveled by the block in one cycle of oscillation in terms of A? The amplitude A, the total energy of the block

Explanation / Answer

A) Frequency = f = 5/10 = 0.5 Hz
B) Distance = x = A*cos(2pi*f*t)
C) for max. amplitude cos(2pi*f*t) = 1 ==========> t = 0 ====> A= x = xo = 0.08 m
D) Energy = E = 0.5kA^2 = 0.5*150*0.08^2 = 0.48 J

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