HOOKE’S LAW SIR ROBERT HOOKE (1635-1703) • English • Biology: “cell”, evolution • Chemistry: vacuum, Boyle’s law • Physics: Refraction and wave theory of light, gravity, law of elasticity Law of Elasticity: “Hooke’s Law” F= -kx • F = restoring force of spring • x = the distance that the spring has been stretch or compressed from equilibrium • k = the spring constant • (-) = force acts in opposite direction of the displacement Lab Activity p 255 • Prepare a data table: Mass (kg) Applied Force (N) =Fg Extension of Spring (m) 0.000 0.200 0.400 0.600 0.800 1.000 0N 0m = equilibrium Lab Activity p 255 • Gather: a ring stand, meter stick, spring, tape, set of masses (100g, 2 x 200g, 500g, 1kg) • Attach the meter stick to a desk or lab bench • Hang the spring on the ring stand and position it such that the end of the spring with no mass attached is lined up with the ZERO • Hang masses and record the extension Lab Activity p255 • Create a graph of the applied force vs the extension. – NOTE: put the extension on the x-axis and the force on the y-axis • QUESTIONS: 1) Describe the shape of the graph. What is the relationship between the extension and the applied force? 2) Determine the equation of the graph. What does the slope represent? ELASTIC POTENTIAL ENERGY • You can use the graph of Hooke’s Law to determine the quantity of potential energy stored in the spring. – Calculate the area under the force vs position graph EP = ½ kx2