Find the mechanical energy of a block-spring system having a spring constant of 1.7 N/cm and an oscillation amplitude of 2.3 cm.

A solid metal block with a mass of 1.30 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The block is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 19.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The block oscillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m (b) What is the frequency of the oscillations (in Hz)? Hz (c) What is the maximum speed of the block (in m/s)? m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? X = ± m (e) What is the maximum acceleration of the block? (Enter the magnitude in m/s².) m/s² (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? X = + m (g) What is the total mechanical energy of the oscillating spring-block system (in J)? J (h) What is the speed of the block (in m/s) when its position is equal to one-third of…

A 60.0-g object connected to a spring with a force constant of 40.0 N/m oscillates with an amplitude of 5.00 cm on a frictionless, horizontal surface. (a) Find the total energy of the system.(b) Find the speed of the object when its position is 1.30 cm. (Let 0 cm be the position of equilibrium.)(c) Find the kinetic energy when its position is 3.50 cm.(d) Find the potential energy when its position is 3.50 cm.

A simple harmonic oscillator is made from a spring connected to a mass on a frictionless surface.  The oscillations have an amplitude of  15cm and a frequency of 0.25Hz .  At which point during its oscillation does the oscillator have the most mechanical energy?

Find the mechanical energy of a block-spring system having a spring constant of 1.3 N/cm and an oscillation amplitude of 2.5 cm.  Don't forget to convert units.

A mass on a spring, moving with simple harmonic motion, vibrates with a frequency of 4.0 Hz and an amplitude of 8.0 cm. If x = 8.0 cm when t = 0, find its speed when t = 3 s.

A particle with mass 1.43 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.839 m and a duration of 125 s for 73 cycles of oscillation. Find the frequency, f, the speed at the equilibrium position, vmax, the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 34.1% of the amplitude away from the equiliibrium position, U, and the kinetic energy, K, and the speed, v, at the same position. f = Hz Umax m/s k = N/m Umax J U = J K = J V = m/s