The the required spring constant is 2.368
What is the time period of a spring-mass system?
For a spring-mass system, the timr period is inversely proportional to the square root of the mass and proportionate to the spring constant.
T = 2π√(m/K)
In the given problem,
Time period , T = 0.5 s
Mass, m = 0.0150-kg
T = 2π√(m/K)
K = 4π²m/T²
= 4× π² × 0.015 / 0.5²
= 0.592/0.25
= 2.368
Therefore the required spring constant is 2.368
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