Two objects oscillate on springs in simple harmonic motion.Object 1 has mass M₁,amplitude A₁,and a spring with a spring constant k₁.Object 2 has M₂ = 5 M₁,A₂ = 2 A₁,and k₂ = 1.5 k₁.How do the total energies of these two systems compare? A)E₂/E₁ = 1/6 B)E₂/E₁ = 6 C)E₂/E₁ = 5/6 D)E₂/E₁ = 6/5 E)E₂/E₁ = 30

Question

Quizplus · Accepted Answer

The total energy of an object in simple harmonic motion is given by E = 1/2kA^2. So, the ratio of the total energies of the two objects is:E2/E1 = (1/2k2A2^2)/(1/2k1A1^2) = (k2A2^2)/(k1A1^2) = (1.5k1)(2A1)^2/(k1A1^2) = 6

Two Objects Oscillate on Springs in Simple Harmonic Motion