Questions: Experiment VIII - Energy and Momentum The apparatus consists of a box resting on the table and a pendulum. You will raise the pendulum a specified height H, and release it so it hits the box. You are to determine the distance D that the box will slide before coming to rest. In its initial position the box should just touch the pendulum bob when the bob is hanging straight down. Treat the pendulum bob as a point particle located at its geometrical center. In particular, use its center as the point of reference for position measurements of the bob. You may assume the collision between the bob and the box is completely inelastic (it isn't, but it's a reasonable approximation.) Make sure you use center-of-mass to center-of-mass, not to table-top, when measuring H. Activity 1 Run the experiment several times so you have a clear picture of what happens. Use only H=45 cm. The bob is soft and becomes flattened after each collision with the box. Reshape it into something more like a ball before each trial. Reject any runs in which you do not hit the box near the center or for which the box twists. P=Nav Activity 2 Separate what you observe into several "steps" occurring sequentially. Try to find steps that conserve mechanical energy, momentum or both. It's okay if there are steps that don't conserve either. For example, you can deal with non-conservation of energy by calculating the work done by the force responsible for non-conservation.

Experiment VIII - Energy and Momentum
The apparatus consists of a box resting on the table and a pendulum. You will raise the pendulum a specified height H, and release it so it hits the box. You are to determine the distance D that the box will slide before coming to rest.

In its initial position the box should just touch the pendulum bob when the bob is hanging straight down.

Treat the pendulum bob as a point particle located at its geometrical center. In particular, use its center as the point of reference for position measurements of the bob. You may assume the collision between the bob and the box is completely inelastic (it isn't, but it's a reasonable approximation.) Make sure you use center-of-mass to center-of-mass, not to table-top, when measuring H.

Activity 1 Run the experiment several times so you have a clear picture of what happens. Use only H=45 cm. The bob is soft and becomes flattened after each collision with the box. Reshape it into something more like a ball before each trial. Reject any runs in which you do not hit the box near the center or for which the box twists.
P=Nav

Activity 2 Separate what you observe into several "steps" occurring sequentially.
Try to find steps that conserve mechanical energy, momentum or both. It's okay if there are steps that don't conserve either. For example, you can deal with non-conservation of energy by calculating the work done by the force responsible for non-conservation.
Transcript text: Experiment VIII - Energy and Momentum The apparatus consists of a box resting on the table and a pendulum. You will raise the pendulum a specified height $H$, and release it so it hits the box. You are to determine the distance $D$ that the box will slide before coming to rest. In its initial position the box should just touch the pendulum bob when the bob is hanging straight down. Treat the pendulum bob as a point particle located at its geometrical center. In particular, use its center as the point of reference for position measurements of the bob. You may assume the collision between the bob and the box is completely inelastic (it isn't, but it's a reasonable approximation.) Make sure you use center-of-mass to centerof-mass, not to table-top, when measuring $H$. Activity 1 Run the experiment several times so you have a clear picture of what happens. Use only $H=45 \mathrm{~cm}$. The bob is soft and becomes flattened after each collision with the box. Reshape it into something more like a ball before each trial. Reject any runs in which you do not hit the box near the center or for which the box twists. $P=\operatorname{Nav}$ Activity 2 Separate what you observe into several "steps" occurring sequentially. Try to find steps that conserve mechanical energy, momentum or both. Tt's okay if there are steps that don't conserve either. For example, you can deal with non-conservation of energy by calculating the work done by the force responsible for non-conservation. Energy and Momentum
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Solution

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Solution Steps

Step 1: Initial Setup and Measurement
  • Set up the apparatus with the box resting on the table and the pendulum hanging straight down.
  • Ensure the pendulum bob just touches the box in its initial position.
  • Raise the pendulum to a specified height \( H = 45 \) cm and release it to hit the box.
Step 2: Conducting the Experiment
  • Run the experiment several times to observe the behavior.
  • Ensure the bob is reshaped into a ball before each trial to maintain consistency.
  • Reject any runs where the bob does not hit the box near the center or causes the box to twist.
Step 3: Observing and Recording Data
  • Measure the distance \( D \) that the box slides before coming to rest after being hit by the pendulum.
  • Record the distance \( D \) for each trial to analyze the results.

Final Answer

  • The experiment involves measuring the distance \( D \) that the box slides after being hit by a pendulum released from a height \( H = 45 \) cm. Conduct multiple trials, ensuring consistent conditions, and record the distance \( D \) for analysis.
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