A box of mass m is pressed against (but is not attached to) an ideal spring of force constant k and negligible mass, compressing the spring a distance x. After it is released, the box slides up a frictionless incline as shown in the figure and eventually stops. If we repeat this experiment but instead compress the spring a distance of 2x 0000000 Smooth Smooth o the box will go up the incline twice as high as before. O just as it moves free of the spring, the box will be traveling twice as fast as before. O just as it moves free of the spring, the box will be traveling four times as fast as before. O just as it moves free of the spring, the box will have twice as much kinetic energy as before. o just before it is released, the box has twice as much elastic potential energy as before.

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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**Text:**

A box of mass \( m \) is pressed against (but is not attached to) an ideal spring of force constant \( k \) and negligible mass, compressing the spring a distance \( x \). After it is released, the box slides up a frictionless incline as shown in the figure and eventually stops. If we repeat this experiment but instead compress the spring a distance of \( 2x \).

**Diagram:**

- The diagram shows a smooth horizontal surface with a spring on the left and a box of mass \( m \) adjacent to it.
- The spring is compressed by a distance \( x \).
- The surface and inclined incline are labeled "Smooth," indicating no friction.
- The incline slopes upward from left to right, with the spring positioned at the base.

**Questions:**

- ⚪ the box will go up the incline twice as high as before.
  
- ⚪ just as it moves free of the spring, the box will be traveling twice as fast as before.
  
- ⚪ just as it moves free of the spring, the box will be traveling four times as fast as before.
  
- ⚪ just as it moves free of the spring, the box will have twice as much kinetic energy as before.
  
- ⚪ just before it is released, the box has twice as much elastic potential energy as before.
Transcribed Image Text:**Text:** A box of mass \( m \) is pressed against (but is not attached to) an ideal spring of force constant \( k \) and negligible mass, compressing the spring a distance \( x \). After it is released, the box slides up a frictionless incline as shown in the figure and eventually stops. If we repeat this experiment but instead compress the spring a distance of \( 2x \). **Diagram:** - The diagram shows a smooth horizontal surface with a spring on the left and a box of mass \( m \) adjacent to it. - The spring is compressed by a distance \( x \). - The surface and inclined incline are labeled "Smooth," indicating no friction. - The incline slopes upward from left to right, with the spring positioned at the base. **Questions:** - ⚪ the box will go up the incline twice as high as before. - ⚪ just as it moves free of the spring, the box will be traveling twice as fast as before. - ⚪ just as it moves free of the spring, the box will be traveling four times as fast as before. - ⚪ just as it moves free of the spring, the box will have twice as much kinetic energy as before. - ⚪ just before it is released, the box has twice as much elastic potential energy as before.
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