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6 March, 17:32

A 5.4 g lead bullet moving at 261 m/s strikes a steel plate and stops. If all its kinetic energy is converted to thermal energy and none leaves the bullet, what is its temperature change? Assume the specific heat of lead is 128 J/kg · ◦ C. Answer in units of ◦C.

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  1. 6 March, 17:59
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    Change in temperature ∆ (tita) is 266.097°C

    Explanation:

    Ok kinectic energy = 1/2MV²

    5.4 grams = (5.4/1000) kilogram

    Kinectic energy = (1/2) * (5.4/1000) * 261²

    Kinectic energy = 183.9267 joules

    If kinetic energy = thermal energy

    183.9267 joules = mc∆ (tita)

    Where ∆ (tita) = change in temperature

    And c = 128 J/kg

    ∆ (tita) = 183.9267 / ((5.4/1000) * 128)

    ∆ (tita) = 266.097

    ∆ (tita) = 266.097°C
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