After driving a portion of the route, the taptap is fully loaded with a total of 26 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) X = Π| ΑΣΦ 0.65 Submit Previous Answers ? X Incorrect; Try Again; 2 attempts remaining m

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 of the spring
from its equilibrium position. The equilibrium
position is the position at which the spring is neither
stretched nor compressed.
Recall that Fx means that F is equal to a
constant times . 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 = -kz.
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 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
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.
Part A
A 67 kg driver gets into an empty taptap to start the day's work. The springs compress 2.2x10-²
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.
►View Available Hint(s)
k 3.0x104 N/m
Submit
Previous Answers
✓ Correct
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.
Transcribed Image Text: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 of the spring from its equilibrium position. The equilibrium position is the position at which the spring is neither stretched nor compressed. Recall that Fx means that F is equal to a constant times . 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 = -kz. 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 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 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. Part A A 67 kg driver gets into an empty taptap to start the day's work. The springs compress 2.2x10-² 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. ►View Available Hint(s) k 3.0x104 N/m Submit Previous Answers ✓ Correct 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.
After driving a portion of the route, the taptap is fully loaded with a total of 26 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)
X =
Π| ΑΣΦ
0.65
Submit Previous Answers
?
X Incorrect; Try Again; 2 attempts remaining
m
Transcribed Image Text:After driving a portion of the route, the taptap is fully loaded with a total of 26 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) X = Π| ΑΣΦ 0.65 Submit Previous Answers ? X Incorrect; Try Again; 2 attempts remaining m
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