1. A mass of m=0.5000 kg slides across a horizontal frictionless counter with a speed vo= 0.3000 m/s. It then runs into and compresses a spring of spring constant k-750 N/m. mmi O Weight, Normal, Spring Force, Friction O Weight, Spring Force, Friction O Weight, Normal, Spring Force O Weight, Normal, Friction d (a) Pick all forces act on the spring-mass system as the mass compresses the spring. (b) Which of these forces do not do any work? 4 O Weight, Normal Force, Spring Force O Weight, Normal Force O Normal, Spring Force O Weight, Friction -VO m 99+ (c) Are the remaining forces conservative or non-conservative? с

1. A mass of m=0.5000 kg slides across a horizontal frictionless counter with a speed vo= 0.3000 m/s. It then runs into and compresses a spring of spring constant k-750 N/m. mmi O Weight, Normal, Spring Force, Friction O Weight, Spring Force, Friction O Weight, Normal, Spring Force O Weight, Normal, Friction d (a) Pick all forces act on the spring-mass system as the mass compresses the spring. (b) Which of these forces do not do any work? 4 O Weight, Normal Force, Spring Force O Weight, Normal Force O Normal, Spring Force O Weight, Friction -VO m 99+ (c) Are the remaining forces conservative or non-conservative? с

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Description: **Transcription for Educational Website**---**Problem Description:**A mass of \( m = 0.5000 \, \text{kg} \) slides across a horizontal frictionless counter with a speed \( v_0 = 0.3000 \, \text{m/s} \). It then runs into and compresses a spring with

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

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.

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**Transcription for Educational Website**

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**Problem Description:**

A mass of \( m = 0.5000 \, \text{kg} \) slides across a horizontal frictionless counter with a speed \( v_0 = 0.3000 \, \text{m/s} \). It then runs into and compresses a spring with a spring constant \( k = 750 \, \text{N/m} \).

**Diagram Explanation:**

The diagram shows a horizontal frictionless surface with a spring attached to a wall on one side. A mass \( m \) is moving towards the spring with an initial velocity \( v_0 \). The distance over which the mass compresses the spring is labeled \( d \).

**Questions:**

(a) **Pick all forces acting on the spring-mass system as the mass compresses the spring.**

- [ ] Weight, Normal, Spring Force, Friction
- [ ] Weight, Spring Force, Friction
- [x] Weight, Normal, Spring Force
- [ ] Weight, Normal, Friction

(b) **Which of these forces do not do any work?**

- [ ] Weight, Normal Force, Spring Force
- [x] Weight, Normal Force
- [ ] Normal, Spring Force
- [ ] Weight, Friction

(c) **Are the remaining forces conservative or non-conservative?**

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Feel free to explore our additional resources to deepen your understanding of force interactions and mechanical systems.

**Educational Content: Understanding Forces in a Spring-Mass System**

**Multiple Choice Questions:**

(a) **What are the forces acting on the block?**
- Weight, Spring Force, Friction
- Weight, Normal, Spring Force
- Weight, Normal, Friction

(b) **Which of these forces do not do any work?**
- Weight, Normal Force, Spring Force
- Weight, Normal Force
- Normal, Spring Force
- Weight, Friction

(c) **Are the remaining forces conservative or non-conservative?**
- Conservative
- Non-Conservative

(d) **What can you say about the mechanical energy of the system?**
Only _____________________ are responsible for work in the spring-mass system. Therefore, mechanical energy is ________________.

(e) **When \( m \) is momentarily stopped by the spring, by what distance \( d \) is the spring compressed?**
\( d = \) ____________ cm

*Note: This question has 7 attempts*

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