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A hammer exerts an average force of 1200 N on a nail. If the nail penetrates 0.05 m into the wood, how much heat energy is generated?

Physics

ScanSolve AI Answer

Answer

60 J60 \text{ J}

Step-by-step solution

3 steps
  1. Identify the given values.

    The average force applied to the nail is F=1200 NF = 1200 \text{ N}.
    The distance the nail penetrates is d=0.05 md = 0.05 \text{ m}.

  2. Calculate the work done.

    The work done by the force is converted into heat energy due to friction and deformation as the nail penetrates the wood. The formula for work done is:

    W=F⋅dW = F \cdot d

    Substitute the given values:

    W=(1200 N)(0.05 m)W = (1200 \text{ N})(0.05 \text{ m}) W=60 JW = 60 \text{ J}
  3. State the heat energy generated.

    Assuming all the work done is converted into heat energy, the heat energy generated is equal to the work done.

    Heat Energy=W=60 J\text{Heat Energy} = W = 60 \text{ J}

    The heat energy generated is 60 J60 \text{ J}.

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