2 किलोच्या पिस्तूलमधून 25 ग्रॅमची गोळी 150 ms-1 च्या वेगाने आडवी उडवली जाते. तर पिस्तुलाचा अपेक्षित वेग किती आहे?

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RRC Group D Previous Paper 53 (Held On: 5 Oct 2018 Shift 2)
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  1. - 1.25 ms-1
  2. - 1.5 ms-1
  3. - 2.0 ms-1
  4. - 1.87 ms-1

Answer (Detailed Solution Below)

Option 4 : - 1.87 ms-1
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RRB Group D Full Test 1
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Detailed Solution

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- 1.87 ms-1 हे योग्य उत्तर आहे.

Key Points

  • गोळीचे वस्तुमान दिले, m1 = 25 g = 0.025 kg
    • पिस्तुलचे वस्तुमान, m2 = 2 किलो 
    • गोळी (u1) आणि पिस्तूलचा प्रारंभिक वेग, u2 = 0
    • गोळीचा अंतिम वेग, v1 = 150 ms-1
    • समजा पिस्तूलचा वेग v आहे.
    • गोळीबार करण्यापूर्वी पिस्तूल आणि गोळीचा एकूण संवेग शून्य असते (कारण दोन्ही शांत स्थितीत असतात)
    • गोळीबार केल्यानंतर पिस्तूल आणि गोळीचा एकूण संवेग एवढी असेल 
    • =
    • गणना केल्यानंतर, आपल्याला मिळेल,
      • = (3.75 + 2v) kg ms-1
    • गोळीबार केल्यानंतर एकूण संवेग = गोळीबार करण्यापूर्वी एकूण संवेग
      • 3.75 + 2v = 0
      • 2v = -3.75
      • v = -3.75/2
      • v = -1.875 m/s
  • म्हणून, पिस्तूलचा वेग -1.875 m/s आहे.

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