1. A spring has a characteristic of k = 2.75N/m. It has an original length of 0.100 m. What is its potential energy of spring when it has a stretched length of 0.170 m? 2. An object with a mass of 2 kg moves under the spring force with a spring constant of k = 5.65N/m. At one point in time, the object's speed is 4.75 m/s when the spring's displacement from equilibrium is 1.557 m. What is the object's speed at a later time when the spring's displacement from equilibrium is 0.857 m? 3. A spring has a characteristic of k=7.50N/m. If the spring's displacement is 0.550m from its equilibrium position, what is the force that the spring exerts? Assume g= 9.80m/s2. 4. A spring has a value of k=8.25N/m and is displaced from its original position by a distance of 0.150 m. What is the spring's potential energy? 5. A spring with spring constant k=12.5N/m is hung vertically. A mass of 0.500 kg is then suspended from the spring. Determine the displacement of the spring's end due to the weight of the 0.500 kg object. 6. An object with a mass of 0.400 kg is lifted by a vertical distance of 0.450m in the gravitational field of the earth. Determine the change in the gravitational potential energy. 7. The spring constant k=8.75N/m is hanging vertically from a rigid support. The mass of 0.500 kg is put at the spring's end and supported by a hand at a point where the spring's displacement is 0.250 m. Suddenly, the mass is released and allowed to fall. What is the spring's displacement from its equilibrium at the lowest position of the mass?
1. A spring has a characteristic of k = 2.75N/m. It has an original length of 0.100 m. What is its potential energy of spring when it has a stretched length of 0.170 m? 2. An object with a mass of 2 kg moves under the spring force with a spring constant of k = 5.65N/m. At one point in time, the object's speed is 4.75 m/s when the spring's displacement from equilibrium is 1.557 m. What is the object's speed at a later time when the spring's displacement from equilibrium is 0.857 m? 3. A spring has a characteristic of k=7.50N/m. If the spring's displacement is 0.550m from its equilibrium position, what is the force that the spring exerts? Assume g= 9.80m/s2. 4. A spring has a value of k=8.25N/m and is displaced from its original position by a distance of 0.150 m. What is the spring's potential energy? 5. A spring with spring constant k=12.5N/m is hung vertically. A mass of 0.500 kg is then suspended from the spring. Determine the displacement of the spring's end due to the weight of the 0.500 kg object. 6. An object with a mass of 0.400 kg is lifted by a vertical distance of 0.450m in the gravitational field of the earth. Determine the change in the gravitational potential energy. 7. The spring constant k=8.75N/m is hanging vertically from a rigid support. The mass of 0.500 kg is put at the spring's end and supported by a hand at a point where the spring's displacement is 0.250 m. Suddenly, the mass is released and allowed to fall. What is the spring's displacement from its equilibrium at the lowest position of the mass?
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter16: Oscillatory Motion And Waves
Section: Chapter Questions
Problem 44PE: (a) How much will a spring that has a force constant of 40.0 mm be stretched by an object with a...
Related questions
Concept explainers
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Topic Video
Question
Transcribed Image Text:1. A spring has a characteristic of k = 2.75N/m. It has an original length of 0.100 m. What is
its potential energy of spring when it has a stretched length of 0.170 m?
2. An object with a mass of 2 kg moves under the spring force with a spring constant of k =
5.65N/m. At one point in time, the object's speed is 4.75 m/s when the spring's
displacement from equilibrium is 1.557 m. What is the object's speed at a later time when
the spring's displacement from equilibrium is 0.857 m?
3. A spring has a characteristic of k=7.50N/m. If the spring's displacement is 0.550m from
its equilibrium position, what is the force that the spring exerts? Assume g= 9.80m/s2.
4. A spring has a value of k=8.25N/m and is displaced from its original position by a
distance of 0.150 m. What is the spring's potential energy?
5. A spring with spring constant k=12.5N/m is hung vertically. A mass of 0.500 kg is then
suspended from the spring. Determine the displacement of the spring's end due to the
weight of the 0.500 kg object.
6. An object with a mass of 0.400 kg is lifted by a vertical distance of 0.450m in the
gravitational field of the earth. Determine the change in the gravitational potential energy.
7. The spring constant k=8.75N/m is hanging vertically from a rigid support. The mass of
0.500 kg is put at the spring's end and supported by a hand at a point where the spring's
displacement is 0.250 m. Suddenly, the mass is released and allowed to fall. What is the
spring's displacement from its equilibrium at the lowest position of the mass?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning