Ask Question
15 June, 22:28

An internal explosion breaks an object initially at rest into two pieces, one of which has 1.6 times the mass of the other. If 5900J is released in the explosion, how much kinetic energy does each piece acquire?

+1
Answers (1)
  1. 16 June, 01:14
    0
    The pieces will fly off in opposite directions to conserve momentum so:

    m₁v₁ = m₂v₂

    m₁v₁ = 1.6m₁v₂

    v₂ = v₁/1.6

    Ratios of K. E = m₁ (v₁) ²/m₂ (v₂) ²

    = m₁ (v₁) ² / 1.6m₁ (v₁/1.6) ²

    = 1.6

    K. E₁ = 1.6K. E₂

    5900 = K. E₁ + K. E₂

    5900 = 1.6K. E₂ + K. E₂

    K. E₂ = 2270 J for larger piece

    K. E₁ = 3200 J for smaller piece
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “An internal explosion breaks an object initially at rest into two pieces, one of which has 1.6 times the mass of the other. If 5900J is ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers