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14 August, 13:27

From a height of 40.0 m, a 1.00 kg bird dives (from rest) into a small fish tank containing 50.5 kg of water. Part A What is the maximum rise in temperature of the water if the bird gives it all of its mechanical energy

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  1. 14 August, 14:59
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    0.00185 °C

    Explanation:

    From the question,

    The potential energy of the bird = heat gained by the water in the fish tank.

    mgh = cm' (Δt) ... Equation 1

    Where m = mass of the bird, g = acceleration due to gravity, h = height, c = specific heat capacity of water, m' = mass of water, Δt = rise in temperature of water.

    make Δt the subject of the equation

    Δt = mgh/cm' ... Equation 2

    Given: m = 1 kg, h = 40 m, m' = 50.5 kg

    constant: g = 9.8 m/s², c = 4200 J/kg. K

    Substitute into equation 2

    Δt = 1 (40) (9.8) / (50.5*4200)

    Δt = 392/212100

    Δt = 0.00185 °C
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