In outer space a rock with mass 6 kg, and velocity < 3800, -3100, 3400 > m/s, struck a rock with mass 17 kg and velocity < 270, -270, 340 > m/s. After the collision, the 6 kg rock's velocity is < 3300, -2300, 3700 > m/s. What is the final velocity of the 17 kg rock? vf = m/s What is the change in the internal energy of the rocks? AEinternal = Which of the following statements about Q (transfer of energy into the system because of a temperature difference between system and surroundings) are correct? (Ignore heat transfer by radiation.) Check all that apply: OQ = AEinter nal of the rocks. OQ = AK of the rocks. O Q=0 because there are no significant objects in the surroundings. O Q=0 because the duration of the collision was very short.

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Chapter1: Units, Trigonometry. And Vectors
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In outer space, a rock with mass 6 kg, and velocity \(< 3800, -3100, 3400 >\) m/s, struck a rock with mass 17 kg and velocity \(< 270, -270, 340 >\) m/s. After the collision, the 6 kg rock's velocity is \(< 3300, -2300, 3700 >\) m/s.

**1. What is the final velocity of the 17 kg rock?**

\[
\vec{v}_f = \text{\_\_\_\_\_\_\_\_\_} \, \text{m/s}
\]

**2. What is the change in the internal energy of the rocks?**

\[
\Delta E_{\text{internal}} = \text{[ \_\_\_\_\_\_\_\_\_ ]}
\]

**3. Which of the following statements about \(Q\) (transfer of energy into the system because of a temperature difference between system and surroundings) are correct? (Ignore heat transfer by radiation.) Check all that apply:**

- \(\square \, Q = \Delta E_{\text{internal}}\) of the rocks.
- \(\square \, Q = \Delta K\) of the rocks.
- \(\square \, Q \approx 0\) because there are no significant objects in the surroundings.
- \(\square \, Q \approx 0\) because the duration of the collision was very short.
Transcribed Image Text:In outer space, a rock with mass 6 kg, and velocity \(< 3800, -3100, 3400 >\) m/s, struck a rock with mass 17 kg and velocity \(< 270, -270, 340 >\) m/s. After the collision, the 6 kg rock's velocity is \(< 3300, -2300, 3700 >\) m/s. **1. What is the final velocity of the 17 kg rock?** \[ \vec{v}_f = \text{\_\_\_\_\_\_\_\_\_} \, \text{m/s} \] **2. What is the change in the internal energy of the rocks?** \[ \Delta E_{\text{internal}} = \text{[ \_\_\_\_\_\_\_\_\_ ]} \] **3. Which of the following statements about \(Q\) (transfer of energy into the system because of a temperature difference between system and surroundings) are correct? (Ignore heat transfer by radiation.) Check all that apply:** - \(\square \, Q = \Delta E_{\text{internal}}\) of the rocks. - \(\square \, Q = \Delta K\) of the rocks. - \(\square \, Q \approx 0\) because there are no significant objects in the surroundings. - \(\square \, Q \approx 0\) because the duration of the collision was very short.
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