The force constant that is needed to produce a period of 0.500 s for a 0.0150-kg mass is 2.37 N/m
Data obtained from the question
Period (T) = 0.5 s
Mass (m) = 0.015 Kg
Pi (π) = 3.14
Spring constant (K) =?
How to determine the spring constant
The spring constant can be obtained by using the formula for calculating the period of simple harmonic motion. This is illustrated below
T = 2π√(m /K)
Square both side
T² = 4π²m / K
Cross multiply
T² × K = 4π²m
Divide both side by T²
K = 4π²m / T
K = (4 × 3.14² × 0.015) / 0.5²
K = 2.37 N/m
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