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Hooke’s Law and Elastic Potential Energy. Hooke’s Law. Springs have PE when compressed or stretched (it can do work on an object) F= - kx The amount the spring is compressed/stretched from the normal is x k is the spring constant : a measure of strength
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Hooke’s Law • Springs have PE when compressed or stretched (it can do work on an object) F= -kx • The amount the spring is compressed/stretched from the normal is x • k is the springconstant:a measure of strength • The spring exerts its force in the opposite direction of the displacement (negative sign) • Force increases with distance (x)
Was that bad physics? • How did applied force and the restorative force compare?
Elastic Potential Energy (spring energy) EPE = ½ kx2 http://www.pbs.org/opb/circus/classroom/circus-physics/activity-guide-conservation-energy/
A toy dart has a mass of 100 g and is pressed against a toy dart gun with a spring 6 cm and released. The spring constant is 250 N/m. How much potential energy is present?
The dart detaches from the spring and the spring reaches its normal (x). What maximum speed can the dart attain?
A ball with a mass of 2.60 kg starts from rest and falls 0.55 m vertically before striking a coiled spring, which it compresses 15 cm. Determine the spring constant of the spring.