A glob of very soft clay is dropped from above onto a digital scale. The clay sticks to the scale on impact. A graph of the clay's velocity vs. time, vclay(t), is given, with the upward direction defined as positive. The experiment is then repeated, but instead of using the clay glob, a superball with identical mass is dropped from the same height onto the scale. Both the clay and the superball hit the scale 2.9 s after they are dropped. Assume that the duration of the collision is the same in both cases and the force exerted by the scale on the clay and the force exerted by the scale on the superball are constant. Part A Sketch the graph of the superball's velocity vs. time, vbal(t), from the instant it is dropped (t=0 s) until it bounces to its maximum height (t = 6 s). Assume that the superball undergoes a elastic collision with the scale, and that the scale's recoil velocity is negligible. The light colored graph already present in the answer window is velay(t). View Available Hint(s) +**0 No elements selected 30 20 10 Submit -20 -30 10 20 3.0 4.0 5.0 60 (0) Select the elements from the list and add them to the canvas setting the appropriate attributes. Press [TAB] to get to the main menu.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Experiment Overview**

A glob of very soft clay is dropped from above onto a digital scale. The clay sticks to the scale on impact. A graph of the clay's velocity vs. time, \( v_{\text{clay}}(t) \), is provided, with the upward direction defined as positive.

The experiment is repeated using a superball with identical mass, dropped from the same height. Both the clay and the superball hit the scale 2.9 s after they are dropped. Assume that the duration of the collision is the same in both cases, and the force exerted by the scale on the clay and the force exerted by the scale on the superball are constant.

**Part A**

Sketch the graph of the superball's velocity vs. time, \( v_{\text{ball}}(t) \), from the instant it is dropped \((t = 0)\) until it bounces to its maximum height \((t = 6\text{s})\). Assume the superball undergoes an elastic collision with the scale, and the scale's recoil velocity is negligible. The light-colored graph shown is \( v_{\text{clay}}(t) \).

- **Graph Description**: The graph has time \( t(s) \) on the horizontal axis and velocity \( v(t) \) on the vertical axis, ranging from \(-40\) to \(40\). The clay's velocity is shown as a line that decreases from time \(2.9\) s, then bounces and increases to \(6\) s.

**Part B**

Based on your graph, is the change in momentum of the superball during its collision with the scale greater than, less than, or equal to the change in momentum of the clay during its collision with the scale?

- Options:
  1. The change in momentum of the superball is greater than the change in momentum of the clay.
  2. The change in momentum of the superball is less than the change in momentum of the clay.
  3. The change in momentum of the superball is equal to the change in momentum of the clay.
Transcribed Image Text:**Experiment Overview** A glob of very soft clay is dropped from above onto a digital scale. The clay sticks to the scale on impact. A graph of the clay's velocity vs. time, \( v_{\text{clay}}(t) \), is provided, with the upward direction defined as positive. The experiment is repeated using a superball with identical mass, dropped from the same height. Both the clay and the superball hit the scale 2.9 s after they are dropped. Assume that the duration of the collision is the same in both cases, and the force exerted by the scale on the clay and the force exerted by the scale on the superball are constant. **Part A** Sketch the graph of the superball's velocity vs. time, \( v_{\text{ball}}(t) \), from the instant it is dropped \((t = 0)\) until it bounces to its maximum height \((t = 6\text{s})\). Assume the superball undergoes an elastic collision with the scale, and the scale's recoil velocity is negligible. The light-colored graph shown is \( v_{\text{clay}}(t) \). - **Graph Description**: The graph has time \( t(s) \) on the horizontal axis and velocity \( v(t) \) on the vertical axis, ranging from \(-40\) to \(40\). The clay's velocity is shown as a line that decreases from time \(2.9\) s, then bounces and increases to \(6\) s. **Part B** Based on your graph, is the change in momentum of the superball during its collision with the scale greater than, less than, or equal to the change in momentum of the clay during its collision with the scale? - Options: 1. The change in momentum of the superball is greater than the change in momentum of the clay. 2. The change in momentum of the superball is less than the change in momentum of the clay. 3. The change in momentum of the superball is equal to the change in momentum of the clay.
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