1.
What is Hooke's law?
Correct Answer
A. A law that states the relationship between force and displacement in a spring.
Explanation
Hooke's Law describes the linear relationship between the force applied to a spring and the resulting displacement, providing a foundational understanding of the behavior of elastic materials.
2.
Which scientist is credited with discovering Hooke's law?
Correct Answer
C. Robert Hooke
Explanation
The scientist credited with discovering Hooke's Law is Robert Hooke. Hooke, an English physicist and polymath, formulated Hooke's Law in the 17th century. The law describes the relationship between the force applied to a spring and its resulting displacement. Hooke's pioneering work laid the foundation for understanding the elastic behavior of materials, and his law is a fundamental principle in physics and engineering.
3.
Which parameter does Hooke's Law directly relate to the stiffness of a spring?
Correct Answer
C. Force
Explanation
Hooke's Law directly relates to the stiffness of a spring through the parameter of force (F). The law states that the force required to extend or compress a spring is directly proportional to the displacement from its equilibrium position.
4.
What is the mathematical representation of Hooke's law?
Correct Answer
B. F = - k * x
Explanation
The mathematical representation of Hooke's law is F = - k * x, where F is the force applied to the spring, k is the spring constant, and x is the displacement of the spring. Hooke's Law is applicable as long as the material is operating within its elastic limit, meaning it returns to its original shape when the force is removed.
5.
In Hooke's law, what does the negative sign (-) signify?
Correct Answer
D. The opposite direction to the force applied
Explanation
In Hooke's law, the negative sign (-) signifies the opposite direction to the force applied. It indicates that the displacement is in the opposite direction to the applied force.
6.
Which of the following materials obeys Hooke's law?
Correct Answer
B. Steel
Explanation
Among the options provided, steel is a material that generally obeys Hooke's Law within its elastic limit. Hooke's Law describes the linear relationship between force and displacement for elastic materials, and steel is often considered an elastic material within certain limits. It's important to note that materials like rubber, glass, and plastic may exhibit nonlinear behavior, especially under larger deformations, and may not strictly follow Hooke's Law in the same way that elastic materials like steel do. The behavior of a material under stress and strain depends on its mechanical properties and the conditions of deformation.
7.
What happens to the spring constant when a stiffer spring is used?
Correct Answer
C. It increases.
Explanation
When a stiffer spring is used, the spring constant 'k' increases. The spring constant is a measure of the stiffness of a spring, and it quantifies how much force is needed to produce a certain amount of displacement in the spring. A higher spring constant indicates a stiffer spring, meaning it requires more force to produce the same amount of displacement compared to a less stiff spring. Therefore, the correct answer is "It increases."
8.
What is the SI unit of the spring constant?
Correct Answer
D. Newton per meter (N/m)
Explanation
The SI unit of the spring constant 'k' is Newton per meter (N/m). The spring constant is a measure of the stiffness of a spring and is defined as the force required to produce a unit displacement in the spring. Therefore, its unit is expressed in newtons per meter, indicating the amount of force needed to cause a one-meter displacement in the spring.
9.
What happens to the displacement of a spring when no force is applied?
Correct Answer
A. It remains constant.
Explanation
When no force is applied to a spring, and the system is in equilibrium, the displacement of the spring remains constant. In this state, the spring experiences no net force pulling or pushing it away from its equilibrium position. According to Hooke's Law, the force exerted by the spring is proportional to the displacement from its equilibrium position, so when there is no external force, the displacement does not change. Therefore, the correct answer is: It remains constant.
10.
How is the spring constant determined experimentally?
Correct Answer
C. By measuring the force applied to the spring
Explanation
In an experimental setup, the force applied to the spring is measured using a force sensor, and the resulting displacement of the spring is recorded. By plotting a graph of force against displacement and determining the slope of the linear region, the spring constant can be calculated. This process allows researchers and scientists to quantify the stiffness of the spring and understand its behavior under applied forces.
11.
Which of the following is NOT an application of Hooke's law?
Correct Answer
D. Quantum pHysics
Explanation
Quantum physics is not an application of Hooke's law. Hooke's law primarily deals with macroscopic objects, while quantum physics focuses on the behavior of particles at the atomic and subatomic level.
12.
If the spring constant of a spring is known, can the force applied to the spring be calculated?
Correct Answer
A. Yes, using F = - k * x
Explanation
Yes, the force applied to a spring can be calculated using the spring constant and the displacement. The equation F = - k * x allows us to determine the force based on the known spring constant.
13.
Which type of deformation follows Hooke's law?
Correct Answer
B. Elastic deformation
Explanation
Hooke's Law specifically applies to elastic deformation. Elastic deformation refers to the temporary change in shape of a material when subjected to stress, and it returns to its original shape and size once the stress is removed. Hooke's Law mathematically describes this elastic behavior, stating that the force required to deform an elastic material is proportional to the displacement from its equilibrium position.Therefore, the correct answer is: Elastic deformation.
14.
What is the relationship between the spring constant and the stiffness of a spring?
Correct Answer
B. Higher spring constant means higher stiffness
Explanation
The relationship between the spring constant k and the stiffness of a spring is such that a higher spring constant corresponds to a higher stiffness. The spring constant quantifies the stiffness of a spring, indicating how much force is required to produce a unit displacement. A higher spring constant implies that more force is needed to achieve the same displacement, signifying greater stiffness.Therefore, the correct statement is: Higher spring constant means higher stiffness.
15.
What happens to the potential energy of a spring as it is stretched?
Correct Answer
B. It increases.
Explanation
When a spring is stretched, its potential energy increases. This is because the potential energy stored in the spring is directly linked to how much it has been stretched from its normal position. The more you stretch the spring, the more potential energy it gains. This increase in potential energy happens because you're doing work to deform the spring against its restoring force. So, when you stretch a spring, you're essentially storing more energy in it.