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A 30 g particle undergoes SHM with an amplitude of 2.0 mm and a maximum acceleration of magnitude 8.0 multiplied by 103 m/s2, and an unknown phase constant phi.

(a) What is the period of the motion?

_________s

(b) What is the maximum speed of the particle?

_________m/s

(c) What is the total mechanical energy of the oscillator?

__________J

(d) What is the magnitude of the force on the particle when the particle is at its maximum displacement?

__________N

(e) What is this force when the particle is at half its maximum displacement?

__________N

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