Topic 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Displacement Vectors Kinematics Graphs Energy Power Springs Shadows Field of Vision Colors Concave mirrors Convex mirrors Refraction Lenses Optical Power Slides Minutes 9 27 13 39 13 39 10 30 10 30 5 15 4 12 3 9 7 21 3 9 7 21 4 12 5 15 10 30 6 18 As illustrated below, the distance a spring is stretched is called the “elongation”. Robert Hooke was the first to discover that the spring force is directly proportional to the elongation. Today, we call this law Hooke’s Law. The formula for the spring is: FS = kx (Hooke’s Law) Where: FS = the spring force (N) k = the spring constant (N/m) x = the elongation (m) Click When the spring force (FS) is plotted versus the elongation (x) of the spring, the resulting graph is a linear relation. The slope of the curve represents the spring constant while the area under the curve represents the potential energy stored in the spring. Click Springs Slide: 7. 1 When the spring force is plotted versus the elongation of the spring: a) How do you determine the spring constant (k) from the graph? By finding the slope of the plotted line. b) How do you determine the potential energy (EP) stored in a spring from the graph? By finding the area under the slope. Click Springs Slide: 7. 2 The graph on the right represents the force-compression graph of an ideal spring. Determine the spring constant. Click Springs Slide: 7. 3 Jim wants to compress a coil whose spring constant is 120 N/m. To do so, he uses a lever attached in such a way that the actual mechanical advantage (AMA) is 3 as illustrated below. How much force must Jim apply in order to compress the spring a distance of 50 cm? Note that the resistance force = the spring force Click Springs Slide: 7. 4 The graph on the right was obtained by applying various weights to a spring. The spring is then attached to a 5.0 kg cart and stretched 0.40 m by an applied force of 25 N (as illustrated). Note that to find the spring constant, 0.40 m Determine the frictional force between we need to invert the slope from the the surface and the cart as the cart given graph because k = F/x. FA = 25 was stretched. N 5.0 kg Step-1 Find the spring constant (k) Step-3 Find the frictional force (f) Step-2 Calculate the spring force Given Click Springs Slide: 7. 1 … and good luck!