In Haiti, public transportation is often by taptaps, small pickup trucks with seats along the sides of the pickup bed and railings to which passengers can hang Learning Goal: on. Typically they carry two dozen or more passengers plus an assortment of chickens, goats, luggage, etc. Putting this much into the back of a pickup truck To understand the use of Hooke's law for a spring. puts quite a large load on the truck springs. A truck has springs for each wheel, but for simplicity assume that the individual springs can be treated as one spring with a spring constant that includes the Hooke's law states that the restoring force F on a effect of all the springs Also for simplicity, assume that all four springs compress equally when weight is added to the truck and that the equilibrium length of spring when it has been stretched or compressed is the springs is the length they have when they support the load of an empty truck. proportional to the displacement I of the spring from its equilibrium position. The equilibrium position is the position at which the spring is neither stretched nor compressed. Part A Recall that F ox means that F is equal to a constant times . For a spring, the proportionality A 67 kg driver gets into an empty taptap to start the day's work. The springs compress 2.5x1072 m . What is the effective spring constant of the spring constant is called the spring constant and denoted system in the taptap? by k. The spring constant is a property of the spring and must be measured experimentally. The larger Enter the spring constant numerically in newtons per meter using two significant figures. the value of k, the stiffer the spring. In equation form, Hooke's law can be written View Available Hint(s) - -kx k = 2.6x104 N/m The minus sign indicates that the force is in the opposite direction to that of the spring's displacement from its equilibrium length and is Previous Answers "trying" to restore the spring to its equilibrium position. The magnitude of the force is given by F = kx, where a is the magnitude of the Correct displacement. If you need to use the spring constant in subsequent parts, use the full precision value you calculated, only rounding as a final step before submitting your answer. Part B After driving a portion of the route, the taptap is fully loaded with a total of 27 people including the driver, with an average mass of 67 kg per person. In addition, there are three 15-kg goats, five 3-kg chickens, and a total of 25 kg of bananas on their way to the market. Assume that the springs have somehow not yet compressed to their maximum amount. How much are the springs compressed? Enter the compression numerically in meters using two significant figures. View Available Hint(s)
