### Understanding Springs and Forces#### Spring Compression- **Scenario**: A relaxed spring protrudes from an opening by 0.0500 meters.- **Figures Explained**: - **Figure A**: Shows a spring extending out of the opening by 0.0500 meters. - **Figure B**: Displays the same spring now compressed completely inside the opening with a 1.00 kg block resting on top of it.#### Problem-Solving Questions4. **Determine the Spring Constant \( k \):** Options: - A) 20.0 N/m - B) 196 N/m - C) 392 N/m - D) 3920 N/m - E) 7840 N/m5. **Calculate the Potential Energy Stored in the Spring in Figure B:** Options: - A) 0.245 J - B) 0.490 J - C) 4.90 J - D) 9.80 J - E) Zero J#### Pressure Application6. **Determine the Force Exerted by a Child Pumping a Bicycle Tire:** - **Given**: The tire pressure must be \(1.2 \times 10^5 \, \text{Pa}\) above atmospheric pressure. - **Pump Specifications**: Circular piston surface area of \(9.6 \times 10^{-4} \, \text{m}^2\). Options: - A) 120 N - B) 89 N - C) 76 N - D) 54 N - E) 240 NThis exercise helps to understand the principles of physics related to spring forces and pressure applications.

Given data: Comparison in spring (x) = 0.0500 m Mass (m) = 1.00 kg Required: The spring constant…

A relaxed spring protrudes from an opening 0.0500 meters as shown in Figure A. A 1.00-kg block is found to just force the spring completely into the opening as shown in Figu B. 0.0500 m C) 392 N/m D) 3920 N/m E) 7840 N/m ˇˇˇˇˇˇˇˇ 4. Determine the spring constant k. A) 20.0 N/m B) 196 N/m Figure A C) 4.90 J D) 9.80 J E) zero J 5. How much potential energy is stored in the spring in Figure B? A) 0.245 J B) 0.490 J 1.00 kg Figure B

A relaxed spring protrudes from an opening 0.0500 meters as shown in Figure A. A 1.00-kg block is found to just force the spring completely into the opening as shown in Figu B. 0.0500 m C) 392 N/m D) 3920 N/m E) 7840 N/m ˇˇˇˇˇˇˇˇ 4. Determine the spring constant k. A) 20.0 N/m B) 196 N/m Figure A C) 4.90 J D) 9.80 J E) zero J 5. How much potential energy is stored in the spring in Figure B? A) 0.245 J B) 0.490 J 1.00 kg Figure B

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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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

### Understanding Springs and Forces

#### Spring Compression

- **Scenario**: A relaxed spring protrudes from an opening by 0.0500 meters.
- **Figures Explained**:
- **Figure A**: Shows a spring extending out of the opening by 0.0500 meters.
- **Figure B**: Displays the same spring now compressed completely inside the opening with a 1.00 kg block resting on top of it.

#### Problem-Solving Questions

4. **Determine the Spring Constant \( k \):**

Options:
- A) 20.0 N/m
- B) 196 N/m
- C) 392 N/m
- D) 3920 N/m
- E) 7840 N/m

5. **Calculate the Potential Energy Stored in the Spring in Figure B:**

Options:
- A) 0.245 J
- B) 0.490 J
- C) 4.90 J
- D) 9.80 J
- E) Zero J

#### Pressure Application

6. **Determine the Force Exerted by a Child Pumping a Bicycle Tire:**

- **Given**: The tire pressure must be \(1.2 \times 10^5 \, \text{Pa}\) above atmospheric pressure.
- **Pump Specifications**: Circular piston surface area of \(9.6 \times 10^{-4} \, \text{m}^2\).

Options:
- A) 120 N
- B) 89 N
- C) 76 N
- D) 54 N
- E) 240 N

This exercise helps to understand the principles of physics related to spring forces and pressure applications.

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