Simple Harmonic Motion - Multiple Choice Questions

Q4. A particle of mass m executes simple harmonic motion in a straight line with amplitude A and frequency f. Which one of the following expressions represents the total energy of the particle?

A 22 mfA2
B 22 mf2A2
C 42 m2f2A
D 42 mf2A2

Total energy is composed of kinetic energy and potential energy. When PE is zero all of the energy is KE and vice versa. Therefore the maximum velocity can be used to work out the energy

E = 1/2 mv2

= 1/2 m (2fA)2

= 2m2f2A2