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Unit 5: Forces
5.3 Forces and Elasticity
5.3.1 Hooke's Law
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Hooke's Law applies even after the elastic limit of a spring is exceeded.
False
A higher spring constant indicates a
stiffer
spring.
Summarize the key aspects of Hooke's Law:
1️⃣ Proportionality between force and extension
2️⃣ Elastic limit beyond which the law fails
3️⃣ Spring constant measures stiffness
What are the two key variables in Hooke's Law?
Force and extension
Hooke's Law describes the behavior of springs accurately beyond their elastic limit.
False
The extension or compression in Hooke's Law is measured in
meters
What is the mathematical expression for Hooke's Law?
F
=
F =
F
=
k
×
x
k \times x
k
×
x
What is the force measured in Hooke's Law?
The force applied
A lower spring constant indicates a stiffer spring.
False
What does a higher spring constant indicate about a spring?
It is stiffer
What is the key condition for Hooke's Law to apply?
The elastic limit
The spring constant is measured in
N/m
.
True
Steps to solve a Hooke's Law problem:
1️⃣ Identify the known variables
2️⃣ Determine the unknown variable
3️⃣ Apply the formula
F
=
F =
F
=
k
×
x
k \times x
k
×
x
4️⃣ Solve for the unknown variable
Hooke's Law accurately describes the behavior of springs as long as the
elastic limit
is not exceeded.
True
What does Hooke's Law state about the relationship between force and extension in a spring?
Proportional relationship
In Hooke's Law, force is measured in Newtons and extension in
meters
.
True
How can the spring constant of a spring be measured experimentally?
By applying varying forces
Hooke's Law can be expressed mathematically as
F
=
F =
F
=
k
×
x
k \times x
k
×
x
What does the spring constant measure in Hooke's Law?
Stiffness of the spring
The limit beyond which Hooke's Law no longer applies is called the
elastic
Steps to measure the spring constant experimentally
1️⃣ Apply a known force to the spring
2️⃣ Measure the extension of the spring
3️⃣ Calculate the spring constant using
k
=
k =
k
=
F
/
x
F / x
F
/
x
What is the unit of the spring constant in Hooke's Law?
N/m
Match the aspect of Hooke's Law with its description:
Proportionality ↔️ Force and extension are directly related
Elastic Limit ↔️ Maximum force before permanent deformation
Spring Constant ↔️ Measures the stiffness of the spring
The force needed to extend a spring is inversely proportional to its extension.
False
The spring constant in Hooke's Law is measured in
N/m
.
What is the unit of measurement for force in Hooke's Law?
Newtons (N)
Hooke's Law applies regardless of whether the elastic limit is exceeded.
False
The proportionality constant in Hooke's Law is called the
spring
constant.
What does the spring constant (k) measure?
The stiffness of the spring
The spring constant is the proportionality constant in Hooke's Law, representing the
stiffness
of a spring.
Match the spring type with its stiffness and spring constant:
Stiff Spring ↔️ Very Stiff, 500 N/m
Regular Spring ↔️ Medium Stiff, 250 N/m
Flexible Spring ↔️ Very Flexible, 100 N/m
Hooke's Law states that force is proportional to extension or compression, as long as the elastic
limit
is not exceeded.
What happens if the elastic limit is exceeded in Hooke's Law?
The spring deforms permanently
What is the unit of the spring constant (k)?
N/m
Hooke's Law accurately describes the behavior of springs as long as the elastic limit is not
exceeded
What is the unit for measuring extension or compression in Hooke's Law?
Meters
What is the spring constant in Hooke's Law a measure of?
Stiffness
Match the aspect of Hooke's Law with its description:
Proportionality ↔️ The force and extension are directly proportional
Elastic Limit ↔️ The maximum force before deformation
The spring constant is the proportionality constant in
Hooke's
Law.
Steps to measure the spring constant experimentally:
1️⃣ Hang the spring and mark initial position
2️⃣ Add known masses
3️⃣ Measure the extension
4️⃣ Calculate the spring constant
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