Question

a 4.5 kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant) is 450 N. The block is pulled from its equilibrium position at x=0.000 m to a position x=+0.080 m and is released from rest. The block then executes harmonic motion along the horizontal x-axis. The maximum kinetic energy of the system is closest to _____?

Answer 1

Energy stored in a spring will be used to provide kinetic energy to the mass..

Given the surface is frictionless

So

The energy stored in the spring due to compression of X

E = 1/2 × K × (X squared)

E = 0.5 × 450 × (0.080)²

^{E = 1.44 Joules}