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Block Stopping on an Incline with Spring

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The package slides down a ramp and contacts the spring at a velocity of 20 ft/s. The spring has a mass that can be considered negligible. The spring constant is 1800 lb/ft. How many inches does the spring compress in order to stop the package? (150 lb package)

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Kinetic Energy of the block when it hits the spring = ½mv2 = 0.5*150*202/32.2 = 931.677 foot- pound
Part of this energy is used in overcoming ...

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