energy 1. A 70.0 kg man jumping from a window lands in an elevated fire rescue net 11.0 m below the window. He momen- tarily stops when he has stretched the net by 1.50 m. Assuming that mechanical energy is conserved during this process and the net acts like an ideal spring, find the elastic potential energy of the net when it is stretched by 1.50 m. Answer: 8580J
energy 1. A 70.0 kg man jumping from a window lands in an elevated fire rescue net 11.0 m below the window. He momen- tarily stops when he has stretched the net by 1.50 m. Assuming that mechanical energy is conserved during this process and the net acts like an ideal spring, find the elastic potential energy of the net when it is stretched by 1.50 m. Answer: 8580J
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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![Certainly! Here is the transcription of the image that can be used on an educational website:
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**Aaronson - Practice Problems on Potential Energy**
1. **A 70.0 kg Man Jumping from a Window**
- A man jumping from a window lands in an elevated fire rescue net 11.0 m below the window. He momentarily stops when he has stretched the net by 1.50 m. Assuming that mechanical energy is conserved during this process and the net acts like an ideal spring, find the elastic potential energy of the net when it is stretched by 1.50 m.
- **Answer:** 8580 J
2. **Potential Energy of a Diatomic Molecule**
- The potential energy \( U \) of a diatomic molecule (a two-atom system like H₂) is given by:
\[
U = \frac{A}{r^{12}} - \frac{B}{r^6}
\]
where \( r \) is the distance of separation of the two atoms. This potential energy is associated with the force that binds the two atoms together, the "Leonard-Jones" potential.
a) **Find the equilibrium separation,** the distance between the atoms at which the force on each atom is zero.
b) **Is this force repulsive (pushing the atoms apart) or attractive (bringing the atoms together) if their separation is smaller than the equilibrium separation? What if it is larger?**
- **Answer:** a) \((\frac{A}{2B})^{1/6}\)
3. **Spring with a Spring Constant**
- A spring with a spring constant of 3200 N/m is initially stretched until the elastic potential energy is 1.44 J (\( U = 0 \) when there is no stretching of the spring). What is the change in elastic potential energy if the initial stretch is changed to:
a) a stretch of 2.0 cm,
b) a compression of 2.0 cm,
c) a compression of 4.0 cm?
- **Answers:** a) \( -0.80 \) J b) \( -0.80 \) J c) 1.12 J
4. **Pendulum made of a Thin, Rigid Rod**
- A pendulum is made of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F097e4ba6-b3f3-4468-a4b3-d5ca2a9f0e8d%2F96431023-b38c-475c-96e3-07c1fc5e91d4%2F94ngne7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Here is the transcription of the image that can be used on an educational website:
---
**Aaronson - Practice Problems on Potential Energy**
1. **A 70.0 kg Man Jumping from a Window**
- A man jumping from a window lands in an elevated fire rescue net 11.0 m below the window. He momentarily stops when he has stretched the net by 1.50 m. Assuming that mechanical energy is conserved during this process and the net acts like an ideal spring, find the elastic potential energy of the net when it is stretched by 1.50 m.
- **Answer:** 8580 J
2. **Potential Energy of a Diatomic Molecule**
- The potential energy \( U \) of a diatomic molecule (a two-atom system like H₂) is given by:
\[
U = \frac{A}{r^{12}} - \frac{B}{r^6}
\]
where \( r \) is the distance of separation of the two atoms. This potential energy is associated with the force that binds the two atoms together, the "Leonard-Jones" potential.
a) **Find the equilibrium separation,** the distance between the atoms at which the force on each atom is zero.
b) **Is this force repulsive (pushing the atoms apart) or attractive (bringing the atoms together) if their separation is smaller than the equilibrium separation? What if it is larger?**
- **Answer:** a) \((\frac{A}{2B})^{1/6}\)
3. **Spring with a Spring Constant**
- A spring with a spring constant of 3200 N/m is initially stretched until the elastic potential energy is 1.44 J (\( U = 0 \) when there is no stretching of the spring). What is the change in elastic potential energy if the initial stretch is changed to:
a) a stretch of 2.0 cm,
b) a compression of 2.0 cm,
c) a compression of 4.0 cm?
- **Answers:** a) \( -0.80 \) J b) \( -0.80 \) J c) 1.12 J
4. **Pendulum made of a Thin, Rigid Rod**
- A pendulum is made of
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