A steel

A steel hammer with a weight of 0.5 kg hits the nail at a speed of 3 m/s. How deep does the nail penetrate the wood if the hammer acts on the nail with an average force of 50N?

Correct answer:

x =  45 mm

Step-by-step explanation:

$$\begin{gathered} m=0.5\text{kg} \\ v=3\text{m/s} \\ F=50\text{N} \\ {E}_1=1/2\cdot m\cdot v^2=1/2\cdot 0.5\cdot 3^2=\frac{9}{4}=2.25\text{J} \\ {E}_1=F_x \\ {x}_1=E_1/F=2.25/50=\frac{9}{200}=0.045\text{m} \\ x=1000\cdot x_1=1000\cdot 0.045=45\text{mm} \end{gathered}$$

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