a. A mass m oscillating on a spring has period T. Suppose the mass changes very slightly

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a. A mass m oscillating on a spring has period T. Suppose the mass changes very slightly from m to m + Δm, where Δm << m. Find an expression for ΔT, the small change in the period. Your expression should involve T, m, and Δm but not the spring constant.

b. Suppose the period is 2.000 s and the mass increases by 0.1%. What is the new period?

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