A 5.7 kg block attached to a spring executes simple harmonic motion on a frictionless horizontal surface. At time t = 0 s, the block has a displacement of -0.70 m, a velocity of -0.80 m/s, and an acceleration of +2.7 m/s2. The amplitude of the motion is closest to:

Answer 1

If this is multiple choice, please provide the choices.

The problem can be solved by recalling that the sum of potential energy and kinetic energy is constant. The constant will equal k A^2, where A is the amplitude. The t=0 acceleration can be used to get the spring constant k, which you will need for the t=0 potential energy.