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3 of 21 In Haiti, public transportation is often by taptaps, small pickup trucks

ID: 1582034 • Letter: 3

Question

3 of 21 In Haiti, public transportation is often by taptaps, small pickup trucks with seats along the sides of the pickup bed and rallings 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 back of a pickup truck puts quite a large load on the truck springs. A truck has springs for each wheel, but for simplicity assume that the individual springs of all the springs. Also for simplicty, assume that ali four springs compress equaly when weight is added to the truck and that the equilbrium length of the springs is the length they have when they support the load of an empty truck. can be treated as one spring with a spring Part A A66 kg driver gets into an empty taptap to start the day's work. The in the taptap? springs compress 1.7×10-2 m . What is the effective spring constant of the spring system the spring constant numerically in newtons per meter using two significant figures View Available Hint(s) k3.8x104 N/m Correct f 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 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 the driver, with an average mass of 86 kg per person In

Explanation / Answer

B)

Wp = weight of all persons = 27 mp g = 27 x 66 x 9.8 = 17463.6 N

Wg = weight of goats = 3 mg g = 3 (15) (9.8) = 441 N

Wc = weight of chickens = 5 mc g = 5 x 3 x 9.8 = 147 N

Wb = weight of bananas = 5 mb g = 25 x 9.8 = 245 N

using equilibrium of force

spring force = weight of all persons + weight of 3 goats + weight of 5 chickens + weight of bananas

k x = 17463.6 + 441 + 147 + 245

(3.8 x 104) x = 17463.6 + 441 + 147 + 245

x = 0.48 m