An unloaded spring with a spring constant k = 800 J m2 and a natural length 0

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An unloaded spring with a spring constant k = 800 J m2 and a natural length 0.50 m is hanged from a ceiling. If a load of mass m = 8 kg is attached to the spring, the system's equilibrium position is 0.60 m below the ceiling. A person pushes a load, which is initially at rest at 0.35 m below the bottom end of the unloaded spring, and releases it when it is 0.30 m below the bottom end of the unloaded spring, reaching a speed of 4ms1. The load continues to travel straight up. When the load hits the bottom end of the spring, the load is attached to the spring. Take g = 10 m s2, and ignore the effects of air resistance and the mass of the spring. a. If the load is no longer in contact with the person once it reaches 0.30 m below the bottom end of the unloaded spring, find the average force acted on the load by the person (specify both the magnitude and direction).