A 69 kg driver gets into an empty taptap to start the day's work. The springs compress 1.7x10-2 m . What is the effective spring constant of the spring system in the taptap?

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Chapter1: Units, Trigonometry. And Vectors
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Review | Constants | Periodic Table
Learning Goal:
To understand the use of Hooke's law for a spring.
Hooke's law states that the restoring force F on a
spring when it has been stretched or compressed is
proportional to the displacement a of the spring from
its equilibrium position. The equilibrium position is the
position at which the spring is neither stretched nor
compressed.
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 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 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.
Recall that Fxã means that F is equal to a
constant times x. 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
Part A
A 69 kg driver gets into an empty taptap to start the day's work. The springs compress 1.7x10-2 m. What is the effective spring
constant of the spring system in the taptap?
Enter the spring constant numerically in newtons per meter using two significant figures.
F = -ki.
• View Available Hint(s)
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 "trying" to restore the
spring to its equilibrium position. The magnitude of the
force is given by F = kx, where x is the magnitude
of the displacement.
?
k =
N/m
Transcribed Image Text:Review | Constants | Periodic Table Learning Goal: To understand the use of Hooke's law for a spring. Hooke's law states that the restoring force F on a spring when it has been stretched or compressed is proportional to the displacement a of the spring from its equilibrium position. The equilibrium position is the position at which the spring is neither stretched nor compressed. 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 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 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. Recall that Fxã means that F is equal to a constant times x. 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 Part A A 69 kg driver gets into an empty taptap to start the day's work. The springs compress 1.7x10-2 m. What is the effective spring constant of the spring system in the taptap? Enter the spring constant numerically in newtons per meter using two significant figures. F = -ki. • View Available Hint(s) 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 "trying" to restore the spring to its equilibrium position. The magnitude of the force is given by F = kx, where x is the magnitude of the displacement. ? k = N/m
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