Ask Question
11 June, 09:45

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?

+2
Answers (1)
  1. 11 June, 11:02
    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?
Get 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 there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers