A 1.0 kg mass is connected to a spring with a spring constant of 9.00 N/m.If the initial velocity is 4.00 cm/s and the initial displacement is 2.00 cm,then what is the maximum kinetic energy of the simple harmonic motion?
A) 0.0023 J
B) 0.0078 J
C) 0.0026 J
D) 0.0020 J
E) 0.0012 J

Question

Quizplus · Accepted Answer

The maximum kinetic energy in simple harmonic motion is given by the total mechanical energy, which is the sum of initial kinetic and potential energies. KE_initial = 0.5 * m * v^2 = 0.5 * 1 * (0.04)^2 = 0.0008 J. PE_initial = 0.5 * k * x^2 = 0.5 * 9 * (0.02)^2 = 0.0018 J. Total energy = 0.0008 J + 0.0018 J = 0.0026 J.

A 10 Kg Mass Is Connected to a Spring with a a Spring