A 10g particle undergoes SHM with an amplitude of 2.0mm, a maximum acceleration of magnitude `6.5 xx 10^(3) m//s^(2)`, and an unknown phase constant `phi`. What are (a) the period of the motion, (b) the maximum speed of the particle, and (c ) the total mechanical energy of the oscillator? What is the magnitude of the force on the particle when the particle is at (d) its maximum displacement and (e ) half its maximum displacement?

Explanation

(a) `3.48 x 10^(-3)s`, (b) 3.6m/s, (c ) =.065J, (d) 65N, (e ) 32.5N