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A small 0.82-kg box is launched from rest by a horizontal spring as shown in the figure below. The block slides on a track down a hill and comes to rest at a distance d from the base of the hill. Kinetic friction between the box and the track is negligible on the hill, but the coefficient of kinetic friction between the box and the horizontal parts of track is 0.33. The spring has a spring constant of 43.2 N/m, and is compressed 30.0 cm with the box attached. The block remains on the track at all times. - 30.0 cm 1.80 m 40 d = ?

A small 0.82-kg box is launched from rest by a horizontal spring as shown in the figure below. The block slides on a track down a hill and comes to rest at a distance d from the base of the hill. Kinetic friction between the box and the track is negligible on the hill, but the coefficient of kinetic friction between the box and the horizontal parts of track is 0.33. The spring has a spring constant of 43.2 N/m, and is compressed 30.0 cm with the box attached. The block remains on the track at all times. - 30.0 cm 1.80 m 40 d = ?

College Physics
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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(b) Calculate \( d \). [Input box] m
Transcribed Image Text:(b) Calculate \( d \). [Input box] m
**Text:** A small 0.82-kg box is launched from rest by a horizontal spring as shown in the figure below. The block slides on a track down a hill and comes to rest at a distance \(d\) from the base of the hill. Kinetic friction between the box and the track is negligible on the hill, but the coefficient of kinetic friction between the box and the horizontal parts of track is 0.33. The spring has a spring constant of 43.2 N/m, and is compressed 30.0 cm with the box attached. The block remains on the track at all times. **Diagram Explanation:** The diagram illustrates a track with distinct features: 1. **Horizontal Section:** Initially, a compressed spring is shown with a length of 30.0 cm. The smaller box is positioned at this end, ready to be launched. 2. **Slope:** The track then descends into a hill with a length of 1.80 m and a slope of 40°. 3. **Level Ground:** After the hill, the track levels out again. The distance \(d\) from the base of the hill to the point where the block comes to rest needs to be determined. The energy transformation and kinetic friction on the horizontal surfaces will influence the distance \(d\) where the block finally stops.
Transcribed Image Text:**Text:** A small 0.82-kg box is launched from rest by a horizontal spring as shown in the figure below. The block slides on a track down a hill and comes to rest at a distance \(d\) from the base of the hill. Kinetic friction between the box and the track is negligible on the hill, but the coefficient of kinetic friction between the box and the horizontal parts of track is 0.33. The spring has a spring constant of 43.2 N/m, and is compressed 30.0 cm with the box attached. The block remains on the track at all times. **Diagram Explanation:** The diagram illustrates a track with distinct features: 1. **Horizontal Section:** Initially, a compressed spring is shown with a length of 30.0 cm. The smaller box is positioned at this end, ready to be launched. 2. **Slope:** The track then descends into a hill with a length of 1.80 m and a slope of 40°. 3. **Level Ground:** After the hill, the track levels out again. The distance \(d\) from the base of the hill to the point where the block comes to rest needs to be determined. The energy transformation and kinetic friction on the horizontal surfaces will influence the distance \(d\) where the block finally stops.
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