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Learning Goal: To understand the use of Hoake's law for a spring, Hooke's law states that the iestonrig force F on a spring when it has been stretched or compressed is proportional to the displacement is of the spring lroin its equilibrium position The equilibrium position is the position at which the spring is neither stretched l'lGl compressed Recall that F 0: 3 means that F is equal to a constant times i For a spring, the proportionality constant is called the spring constant and denoted by k The spring constant is a property of the spring and must be measured experimentally, The larger the value of k, the stiffer the spring. In equation form, Hooke's law can be written F : 4:5: The minus sign indicates that the [dice is in the opposite direction to that of the spring's displacement from its equilibrium length and is \"trying\" to restore the spring to its equilibrium position The magnitude of the force is given by F : km, where .r. is the magnitude of the displacement 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 on. Typically they carry two dozen or more passengers plus an assortment of chickens, goats' luggage' etc Putting this much into the hack of a pickup truck puts quile a large load on the truck springs Atruck 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 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 the springs is the length they have when they support the load of an empty truck. 7 Part}! A61 kg driver gets into an empty taptap to start the day's work The springs compress 2x104 111 What is the effective spring constant of the spring system in the taptap') Enter the spring constant numerically in newtons per meter using two signicant gures. D Wew Available Hins) k: N/m Dmit m ' X Incorrect; Tl'yAgain; 4 attempts remaining A baseball (m = 145g) traveling 30 m/s moves a fielder's glove backward 27 cm when the ball is caught. Part A What was the average force exerted by the ball on the glove? Express your answer to two significant figures and include the appropriate units. HA ? Fon glove = Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remainingPart A A 1300-kg car moving on a horizontal surface has speed v = 65 km/h when it strikes a horizontal coiled spring and is brought to rest in a distance of 2.5 m What is the spring stiffness constant of the spring? Express your answer to two significant figures and include the appropriate units. HA ? k = Value Units Submit Request Answer Provide FeedbackPart A A novice skier, starting from rest, slides down an icy frictionless 12 0 incline whose vertical height is 170 m . How fast is she going when she reaches the bottom? Express your answer to two significant figures and include the appropriate units. HA ? U= Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remainingV PartA How long will it take a 2750W motor to lift a 430kg piano to a sixthstory window 20.0 m above? Express your answer to three signicant gures and include the appropriate units. my; 4a a 0 av t = Value ' Units muest Answer Provide Feedback