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In this figure, a bead of mass 0.1kg is on a track and is initially at rest at a height of 1.0m. The darker portion of the track is frictionless.  a) What is the speed of the bead at the first hill (h/2)? b) Assuming the orange portion of the track is frictionless, to what height does the bead rise before stopping on the right-hand side?

In this figure, a bead of mass 0.1kg is on a track and is initially at rest at a height of 1.0m. The darker portion of the track is frictionless.  a) What is the speed of the bead at the first hill (h/2)? b) Assuming the orange portion of the track is frictionless, to what height does the bead rise before stopping on the right-hand side?

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In this figure, a bead of mass 0.1kg is on a track and is initially at rest at a height of 1.0m. The darker portion of the track is frictionless. 

a) What is the speed of the bead at the first hill (h/2)?

b) Assuming the orange portion of the track is frictionless, to what height does the bead rise before stopping on the right-hand side?

c) Now consider if the lighter colored portion of the track is not frictionless. The force of the kinetic friction is 0.2N. What height does the bead reach on the right-hand side before coming to rest?

The image presents a diagram of a track with a spherical object at the top. The diagram is labeled "7. (cont...)" indicating it is part of a continued explanation or problem. The track is composed of a series of slopes and peaks: 1. **Starting Point:** The object begins at a height labeled as \( h \). 2. **First Descent:** The track slopes steeply downwards from the starting height \( h \). 3. **Intermediate Peak:** Following the descent, the track rises to a smaller peak which is \( \frac{h}{2} \) in height. 4. **Final Ascent:** After descending from the intermediate peak, the track slopes upwards again at an angle of 30°, extending beyond the height \( h \). The design indicates a physical scenario, likely exploring concepts of potential and kinetic energy, motion, and slopes.
Transcribed Image Text:The image presents a diagram of a track with a spherical object at the top. The diagram is labeled "7. (cont...)" indicating it is part of a continued explanation or problem. The track is composed of a series of slopes and peaks: 1. **Starting Point:** The object begins at a height labeled as \( h \). 2. **First Descent:** The track slopes steeply downwards from the starting height \( h \). 3. **Intermediate Peak:** Following the descent, the track rises to a smaller peak which is \( \frac{h}{2} \) in height. 4. **Final Ascent:** After descending from the intermediate peak, the track slopes upwards again at an angle of 30°, extending beyond the height \( h \). The design indicates a physical scenario, likely exploring concepts of potential and kinetic energy, motion, and slopes.
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