Energy Physics Example 2

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Example 2

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A 1000 kg1000 \text{ kg} car traveling at 20 m/s20 \text{ m/s} brakes to a stop. How much energy is dissipated as heat?

Solution

  1. 1
    Initial kinetic energy: KE=12mv2=12(1000)(400)=200,000 JKE = \frac{1}{2}mv^2 = \frac{1}{2}(1000)(400) = 200{,}000 \text{ J}
  2. 2
    Final kinetic energy: KEf=0KE_f = 0 (car at rest).
  3. 3
    Energy dissipated: ΔE=200,0000=200,000 J=200 kJ\Delta E = 200{,}000 - 0 = 200{,}000 \text{ J} = 200 \text{ kJ}

Answer

ΔE=200 kJ\Delta E = 200 \text{ kJ}
When brakes stop a car, kinetic energy is converted to thermal energy through friction. Energy is conserved overall but is transformed from useful kinetic energy to less useful heat.

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The capacity to do work or cause change in a physical system, measured in joules (J).

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