Oscillations

In a simple harmonic oscillator, when the oscillating object passes through the equilibrium position, which form of energy is at its maximum?

In a simple harmonic motion (SHM), a system has a kinetic energy of 5 J and a potential energy of 3 J at a specific point. What is the total energy of the system at that point?

A mass-spring system oscillates with an amplitude $A$ and spring constant $k$. If the mass is at a position where its displacement is half the amplitude ($A/2$), what fraction of the total energy is potential energy?

A mass-spring system oscillates with an initial amplitude of $A$ and spring constant $k$. If, due to friction, the total energy of the system decreases to one-fourth of its initial value, what is the new amplitude of the oscillation?

At what point in the oscillation of a mass-spring system does the mass have its maximum kinetic energy?

A 2 kg mass is attached to a spring and oscillates with a total energy of 16 J. What is the maximum velocity of the mass?

A mass-spring system is oscillating. What impulse is required to bring the mass to rest at the equilibrium position, given that its maximum velocity is $v_{max}$ and its mass is $m$?

At what point in the oscillation of a mass-spring system is the potential energy at its maximum?

A spring with a spring constant of 50 N/m is stretched to an amplitude of 0.2 m. What is the maximum potential energy stored in the spring?

A spring requires a force of 10 N to stretch it by 0.1 m. If a mass is attached to this spring and undergoes SHM with an amplitude of 0.05 m, what is the maximum potential energy?