Goal The purpose of this experiment is to use to test our idea that energy is a conserved quantity using Galileo’s Pendulum. Experimental Procedure A pendulum is constructed out of a string and a massive bob. The string is hung from a (presumably) frictionless peg and the bob is pulled back to some height  above the lowest point of its arc. When the bob is released from this height and allowed to swing freely, the bob reaches the same height on the opposite side. The experiment we will be conducting to test our idea is to place a peg in the path of the string before releasing the bob at different heights. State, in your own words, the hypothesis being tested in this experiment. Draw a work-energy bar chart  for a system consisting of the pendulum bob and Earth during its swing (a) when there is no peg in the way and (b) when there is a peg in the way. Use the hypothesis and the work-energy bar charts you just drew to predict how high the pendulum bob will rise on the other side when the peg is in the way of the string (will it rise to the same height of , higher than , or lower than ). Explain how you reached this prediction from the hypothesis being tested.

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Chapter1: Units, Trigonometry. And Vectors
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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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Goal

The purpose of this experiment is to use to test our idea that energy is a conserved quantity using Galileo’s Pendulum.

Experimental Procedure

A pendulum is constructed out of a string and a massive bob. The string is hung from a (presumably) frictionless peg and the bob is pulled back to some height  above the lowest point of its arc.

When the bob is released from this height and allowed to swing freely, the bob reaches the same height on the opposite side.

The experiment we will be conducting to test our idea is to place a peg in the path of the string before releasing the bob at different heights.

  • State, in your own words, the hypothesis being tested in this experiment.
  • Draw a work-energy bar chart  for a system consisting of the pendulum bob and Earth during its swing (a) when there is no peg in the way and (b) when there is a peg in the way.
  • Use the hypothesis and the work-energy bar charts you just drew to predict how high the pendulum bob will rise on the other side when the peg is in the way of the string (will it rise to the same height of , higher than , or lower than ). Explain how you reached this prediction from the hypothesis being tested.
The image depicts a series of three pendulum-like diagrams, each illustrating a weight suspended from a fixed point.

1. **Diagram Elements**:
   - **Fixed Point (Top Circle)**: Represented by a small, open circle at the top of each diagram, indicating the point from which the pendulum is suspended.
   - **Pendulum Rod**: A straight line extends from the fixed point to the pendulum's weight, showing the pendulum's arm or rod.
   - **Weight (Bottom Circle)**: A solid black circle at the bottom end of the pendulum rod, representing the pendulum's mass or bob.
   - **Arc Path**: A dashed line denotes the path of motion the pendulum would take, suggesting its swing.

2. **Height (\(h\))**:
   - Each pendulum has a vertical line with the letter "h" labeled next to it, indicating the vertical distance from the pendulum's lowest point to its highest point during its swing.

3. **Sequential Illustration**:
   - The series shows the pendulum at different stages of its swing. The diagrams depict the pendulum starting from the left, passing through the middle position, and reaching the rightmost position.

These diagrams help explain the fundamental motion of a pendulum, illustrating its potential energy change as a function of height \(h\) during its swing.
Transcribed Image Text:The image depicts a series of three pendulum-like diagrams, each illustrating a weight suspended from a fixed point. 1. **Diagram Elements**: - **Fixed Point (Top Circle)**: Represented by a small, open circle at the top of each diagram, indicating the point from which the pendulum is suspended. - **Pendulum Rod**: A straight line extends from the fixed point to the pendulum's weight, showing the pendulum's arm or rod. - **Weight (Bottom Circle)**: A solid black circle at the bottom end of the pendulum rod, representing the pendulum's mass or bob. - **Arc Path**: A dashed line denotes the path of motion the pendulum would take, suggesting its swing. 2. **Height (\(h\))**: - Each pendulum has a vertical line with the letter "h" labeled next to it, indicating the vertical distance from the pendulum's lowest point to its highest point during its swing. 3. **Sequential Illustration**: - The series shows the pendulum at different stages of its swing. The diagrams depict the pendulum starting from the left, passing through the middle position, and reaching the rightmost position. These diagrams help explain the fundamental motion of a pendulum, illustrating its potential energy change as a function of height \(h\) during its swing.
The image shows a simple pendulum. It consists of a small, black circle representing the pendulum bob, which is connected to a pivot point by a thin, solid line. The pivot is depicted as a small, open circle.

To the right of the pendulum bob, there's a vertical line labeled with "h" to denote the vertical height from the lowest point of the swing. The path of the pendulum is represented by a dashed arc, indicating the trajectory as it swings back and forth.

This diagram illustrates the basic components and motion path of a pendulum, which is often used to study basic principles of physics, including harmonic motion and energy conservation.
Transcribed Image Text:The image shows a simple pendulum. It consists of a small, black circle representing the pendulum bob, which is connected to a pivot point by a thin, solid line. The pivot is depicted as a small, open circle. To the right of the pendulum bob, there's a vertical line labeled with "h" to denote the vertical height from the lowest point of the swing. The path of the pendulum is represented by a dashed arc, indicating the trajectory as it swings back and forth. This diagram illustrates the basic components and motion path of a pendulum, which is often used to study basic principles of physics, including harmonic motion and energy conservation.
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