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28 September, 12:28

Two 0.006 Kg bullets are fired with speeds of 20.0 m/s and 50.0 m/s respectively. What are their kinetic energies? Which bullet has more kinetic energy? What is the difference of their kinetic energies?

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  1. 28 September, 12:52
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    a) Kinetic energies

    K₁ = 1.2 J

    K₂ = 7.5 J

    b) The bullet that has the highest kinetic energy is the one with the highest speed, v = 50 m/s, K₂ = 7.5 J

    c) K₂ - K₁ = 6.3 J

    Explanation:

    The kinetic energy (K) is that due to the movement of a body and is calculated as follows:

    K = (1/2) m*v² (J)

    Where:

    m : the mass of the body (kg)

    v is the speed of the body (m/s)

    Data

    m₁ = m₂ = 0.006 Kg

    v₁ = 20 m/s

    v₂ = 50 m/s

    a) Calculation of the kinetic energy

    K₁ = (1/2) (m₁) * (v₁) ²

    K₁ = (1/2) (0.006) * (20) ²

    K₁ = 1.2 J

    K₂ = (1/2) (m₂) * (v₂) ²

    K₂ = (1/2) (0.006) * (50) ²

    K₂ = 7.5 J

    b) K₂ ˃ K₁

    The bullet that has the highest kinetic energy is the one with the highest speed, v = 50 m/s, K₂ = 7.5 J

    c) Difference of their kinetic energies (K₂ - K₁)

    K₂ - K₁ = 7.5 J - 1.2 J = 6,3 J
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