A spring of natural length ℓ₀ lies on a smooth table with one end fixed and the other attached to a particle of mass m. The particle is given speed v₀ perpendicular to the spring. The maximum extension is Δℓ = ℓ₀/10. Given m = 0.1 kg, ℓ₀ = 1 m and v₀ = 11 m/s. (continued)
Physics · Rotational Motion · angular momentum in pure rotation and its conservation
A spring of natural length ℓ₀ lies on a smooth table with one end fixed and the other attached to a particle of mass m. The particle is given speed v₀ perpendicular to the spring. The maximum extension is Δℓ = ℓ₀/10. Given m = 0.1 kg, ℓ₀ = 1 m and v₀ = 11 m/s. (continued)

Sub-question 1
The value of the spring constant k (in N/m) is:
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