A 5-ton spacecraft is running low on fuel and the spacecraft's propulsion force is given by F=5000−2x (The instant the force reaches zero, the fuel runs out and the force is forever zero.) Assuming that the change in the ship's mass due to fuel loss is negligible, determine: a) Graph the force versus position and tell where the fuel ends. b) How much energy was available in the fuel? c) If the ship starts from rest, what is the fastest speed the ship can reach?

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.