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Launching things with springs: vertical shot from a coiled spring.
Using conservation of energy, we compute the maximum height for a block launched vertically by a coiled spring. In addition, we compute the speed at the moment of release from the spring. This problem involves three types of energy: gravitational potential, spring potential and kinetic. For the block shot vertically by a spring, the spring potential energy converts into gravitational energy + kinetic energy. At the maximum height for a block projected vertically by a spring, all the energy is gravitational potential energy.
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