Study 1 For all 3 trials of Study 1, čI had a mass of 1.0 kg. However, the mass of C2 was varied from trial to trial. At the start of each trial, Ct and C2 were at rest, separated only by a spring that was compressed. The amount of com- pression was the same for each trial. When the spring was released, the expanding spring caused the carts to move in opposite directions (see Figure 1). compressed spring cart C1 C2 spring released C2 top view Figure t The students measured the speed, in m/sec, of each cart, and then calculated P of each cart (sce Table 1). Table 1 Speed (m/sec) P Mass of C2 (kg m/sec) Trial (kg) C1 C2 C1 C2 1.0 2.0 3.0 0.104 0.116 0.120 0.104 0.062 0.041 0.10 0.12 0.12 0.10 0.12 0.12 -23

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In study 1, when did C1 and C2 each an an amount of momentum equal to zero? In study 1, under what condition did C1 and C2 have the same speed when the spring was expanding?
**Study 1**

For all 3 trials of Study 1, C1 had a mass of 1.0 kg. However, the mass of C2 was varied from trial to trial. At the start of each trial, C1 and C2 were at rest, separated only by a spring that was compressed. The amount of compression was the same for each trial. When the spring was released, the expanding spring caused the carts to move in opposite directions (see Figure 1).

**Diagram Description:**

In Figure 1, there are two carts, labeled C1 and C2, with a compressed spring between them. In the top view, the compressed spring is released, causing C1 and C2 to move in opposite directions.

**Experimental Measurements:**

The students measured the speed, in m/sec, of each cart, and then calculated \( P \) of each cart (see Table 1).

**Table 1**

\[
\begin{array}{|c|c|c|c|c|c|}
\hline
\text{Trial} & \text{Mass of C2 (kg)} & \text{Speed (m/sec)} & \multicolumn{2}{c|}{\text{P (kg m/sec)}} \\
\cline{3-5}
             &                         & \text{C1} & \text{C2} & \text{C1} & \text{C2} \\
\hline
1            & 1.0                     & 0.104     & 0.104     & 0.10     & 0.10    \\
2            & 2.0                     & 0.116     & 0.062     & 0.12     & 0.12    \\
3            & 3.0                     & 0.120     & 0.041     & 0.12     & 0.12    \\
\hline
\end{array}
\]

The table shows the mass of C2 for each trial, the measured speeds for both C1 and C2, and the calculated momentum \( P \) for each cart.
Transcribed Image Text:**Study 1** For all 3 trials of Study 1, C1 had a mass of 1.0 kg. However, the mass of C2 was varied from trial to trial. At the start of each trial, C1 and C2 were at rest, separated only by a spring that was compressed. The amount of compression was the same for each trial. When the spring was released, the expanding spring caused the carts to move in opposite directions (see Figure 1). **Diagram Description:** In Figure 1, there are two carts, labeled C1 and C2, with a compressed spring between them. In the top view, the compressed spring is released, causing C1 and C2 to move in opposite directions. **Experimental Measurements:** The students measured the speed, in m/sec, of each cart, and then calculated \( P \) of each cart (see Table 1). **Table 1** \[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Trial} & \text{Mass of C2 (kg)} & \text{Speed (m/sec)} & \multicolumn{2}{c|}{\text{P (kg m/sec)}} \\ \cline{3-5} & & \text{C1} & \text{C2} & \text{C1} & \text{C2} \\ \hline 1 & 1.0 & 0.104 & 0.104 & 0.10 & 0.10 \\ 2 & 2.0 & 0.116 & 0.062 & 0.12 & 0.12 \\ 3 & 3.0 & 0.120 & 0.041 & 0.12 & 0.12 \\ \hline \end{array} \] The table shows the mass of C2 for each trial, the measured speeds for both C1 and C2, and the calculated momentum \( P \) for each cart.
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