Slip or Stick and the Force of Friction 11 When the surfaces of two objects are I contact, molecules on the surface of one object are attracted to molecules of the other. Ridges and valleys of one surface settle into the valleys and ridges of the other surface. When one surface slides over another, a slip-and-stick sequence occurs as molecules cling and break away from each other. Air between the surfaces tends to act as a lubricant. The more tightly the surfaces are pressed together, the more air is squeezed out and the greater the electrical interaction between molecules on each surface. So the force of friction between the surfaces depends on the nature and condition of the surfaces, and on how hard the surfaces are pressed together. For a block sliding on a horizontal surface, the force that presses the surfaces together is simply the weight of the block. The ratio of friction force to normal force is called the coefficient of friction and is symbolized by the Greek letter µ (mu): µ= Friction Force (Ff ) Normal (N) It must be emphasized that this relationship holds true only on a flat surface when the force that presses the surfaces together is only the weight. The coefficient of friction μ is greatest when the two surfaces are at rest, just before motion starts. (Then the ridges and valleys have had time to sink into each other and are meshed.) Once sliding begins, μ is slightly less. The coefficient of friction for sliding objects is called the coefficient of sliding friction (or coefficient of kinetic friction). When friction holds an object at rest, we define the coefficient of static friction as the greatest friction force than can act without motion divided by the normal force. A partial list of coefficients of both sliding and static friction is shown in Figure 18-1. Figure 18-1 Surfaces Steel on Steel, dry Steel on Wood, dry Steel on Ice Wood on Wood, dry Metal on Metal, greased µs (Static) 0.60 0.40 0.10 0.35 0.15 µk (Kinetic) 0.30 0.20 0.06 0.15 0.08 Friction always acts in a direction to oppose motion. For a ball moving upward in the air, the friction force is downward. When the ball moves downward, the friction force is upward. For a block sliding along a surface to the right, the friction force is to the left. Friction forces are always opposite to the direction of motion. Learning Targets: Students will analyze the types of friction and measure the coefficient of friction for each type. Procedure A. Computing the Coefficients of Static and Kinetic Friction 1. Obtain a lab setup from the front of the room with 3000g worth of mass; all the masses are 500g each. Obtain the weight of your friction block by suspending it from the spring scale. Record in Table 18-1. 2. Place the friction block on the wooden board at the left end. Put a single mass on the block. Attach the spring scale to the eye hook and while holding it parallel to the wooden board, pull gently to the right. Once the block starts to move, you’ll notice the scale max out at some value and then decrease. Your challenge is to observe what value the max number is worth. Once it moves, stop and do it again to verify your observed max value. Record this value as Force to Just Get Going in Table 18-1. 3. With the same mass still on the block, pull the block and mass system at a slow constant velocity. Since it is at C.V. we already learned that the system is in equilibrium (because it is not accelerating), the force you are pulling it forward has to be equal to the force of friction pulling it back. Record the value from your spring scale during this process as Drag Force at Constant Velocity in Table 18-1. 4. Compute the Normal for your system for each trial by adding the weight of the block to the weight of the added masses. Remember, on level surfaces the Normal and Weight vectors cancel out! Record in Table 18-1. 5. Compute the static and kinetic coefficients of friction for the trial. Record in Table 18-1. 6. Repeat Steps 2-5 for each of the masses. Table 18-1 Added mass to block (g) 500 1000 1500 2000 2500 3000 Ffs Force to Just Get Going (static) (N) Weight of Block: __________ N Ffk Drag Force at Constant Velocity (kinetic) (N) N Total Normal for System (N) µstatic = 𝐅𝐟𝐬 𝐍 µkinetic = 𝐅𝐟𝐤 𝐍 7. Drag the block at differing constant speeds. Try changing the mass and repeating. Does the dragging speed have any effect on the Force of Friction (the scale reading)? Using your previous response as a guide, does the dragging speed affect the Coefficient of Friction? ______________________________________________________ ______________________________________________________ ______________________________________________________ 8. At each weight, how does µstatic compare to µkinetic? ______________________________________________________ 9. Does µkinetic depend on the weight of the block? Explain. ______________________________________________________ ______________________________________________________ ______________________________________________________ B. The Effect of Surface Area on Friction 1. Using your friction block and 1500g of added mass, drag the block at constant speed on its side. The smaller side is a smaller surface area and we will seek to determine if this has any effect. Record the Drag Force at Constant Velocity from the spring scale in Table 18-2. 2. Find the data for the 1500g on the large surface area in Table 18-2 and transfer it here. 3. Fill in the rest of the table. Table 18-2 Ffk Area Drag Force at Total Of 𝐅 Configuration Constant Velocity Normal for System µkinetic = 𝐍𝐟𝐤 Contact (kinetic) (N) (cm2) (N) Small Surface Area Large Surface Area Average 4. Does the area make a difference in the coefficient of friction? Explain. ______________________________________________________ ______________________________________________________ ______________________________________________________ Interpretation Questions 1. Tables in Physics books rarely list coefficients of friction with more than two significant figures. From our discussions or your notes, why are more than two sig. figs. not listed? ______________________________________________________ ______________________________________________________ 2. If you press down on a sliding block, the force of friction increases but µ does not. Explain. ______________________________________________________ ______________________________________________________ 3. Why are there no units for µ? ______________________________________________________