**Problem 3**A small box with mass \( m \) is released from rest by a spring compressed a distance \( d \). The spring constant is \( k \). After being released, the object slides along a frictionless track. What is the speed of the box when it reaches point \( B \) at height \( \frac{h}{2} \)? What must be the value of \( d \) so that the box comes to rest at the top of the track at point \( C \)?**Diagram Explanation:**The diagram shows a small box with mass \( m \) initially positioned against a compressed spring. This spring is compressed by a distance \( d \). Upon release, the box travels along a frictionless track. The track's shape is such that it includes an upward incline, reaching point \( B \) at height \( \frac{h}{2} \) and continues until point \( C \), which is at height \( h \). The task is to calculate the speed of the box at point \( B \) and determine the value of \( d \) so that the box stops at point \( C \).**Sections:**- **Law:** (section left blank for the relevant physical law or principle, presumably energy conservation or mechanics) - **Application:** (section left blank for the application of the law to solve the problem)

When a spring is compressed, the energy is stored in the spring which is transferred to the mass.…

A small box with mass m is released from rest by a spring compressed a 3. distance d. The spring constant is k. After being released, the object slides along a frictionless track. What is the speed of the box when it reaches point B at height h/2? What must be the value of d so that the box comes to rest at the top of the track at point C? Law В m Application A

A small box with mass m is released from rest by a spring compressed a 3. distance d. The spring constant is k. After being released, the object slides along a frictionless track. What is the speed of the box when it reaches point B at height h/2? What must be the value of d so that the box comes to rest at the top of the track at point C? Law В m Application A

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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Question

**Problem 3**

A small box with mass \( m \) is released from rest by a spring compressed a distance \( d \). The spring constant is \( k \). After being released, the object slides along a frictionless track. What is the speed of the box when it reaches point \( B \) at height \( \frac{h}{2} \)? What must be the value of \( d \) so that the box comes to rest at the top of the track at point \( C \)?

**Diagram Explanation:**

The diagram shows a small box with mass \( m \) initially positioned against a compressed spring. This spring is compressed by a distance \( d \). Upon release, the box travels along a frictionless track. The track's shape is such that it includes an upward incline, reaching point \( B \) at height \( \frac{h}{2} \) and continues until point \( C \), which is at height \( h \). The task is to calculate the speed of the box at point \( B \) and determine the value of \( d \) so that the box stops at point \( C \).

**Sections:**

- **Law:** (section left blank for the relevant physical law or principle, presumably energy conservation or mechanics)

- **Application:** (section left blank for the application of the law to solve the problem)

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