If the final velocity is equal to 0.8 ft/s then what is the work done by the external forces? **Problem 3/142**The system is released from rest with the spring initially stretched 3 inches. Calculate the velocity \( v \) of the cylinder after it has dropped 0.5 inches. The spring has a stiffness of 6 lb/in. Neglect the mass of the small pulley.**Diagram Explanation:**The diagram shows a vertical setup where a spring with a stiffness of \( k = 6 \) lb/in is attached to a fixed support. The spring is connected to a pulley system, holding a 100 lb weight (cylinder). The initial setup assumes the spring is stretched 3 inches from its natural length. The task is to find the velocity of the weight once it descends an additional 0.5 inches.- The spring force and stiffness are critical factors in this problem.- The mass of the pulley is considered negligible, simplifying the calculations.This setup illustrates principles of mechanics, energy conservation, and motion.

we use the conservation of energy.

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The system is released from rest with the spring initially stretched 3 in. Calculate the velocity v of the cylinder after it has dropped 0.5 in. The spring has a stiffness of 6 lb/in. Neglect the mass of the small pulley.