Hammer nail force

A hammer with a mass of 600 g hits the head of a nail at a speed of 5 m/s. If the nail penetrates 3 cm into the wall, what is the average resistive force of the masonry?

Final Answer:

F =  250 N

Step-by-step explanation:

$$\begin{gathered} m=600\text{g}\to \text{kg}=600:1000\text{kg}=0.6\text{kg} \\ v=5\text{m/s} \\ s=3\text{cm}\to \text{m}=3:100\text{m}=0.03\text{m} \\ E=\frac{1}{2}\cdot m\cdot v^2=\frac{1}{2}\cdot 0.6\cdot 5^2=\frac{15}{2}=7.5\text{J} \\ E=W=F\cdot s \\ F=E/s=7.5/0.03=250\text{N} \end{gathered}$$

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