# Problem: The collision between a hammer and a nail can be considered to be approximately elastic. Calculate the kinetic energy acquired by a 13-g nail when it is struck by a 560-g hammer moving with an initial speed of 4.6m/s .

###### FREE Expert Solution

The formula for kinetic energy is given as:

$\overline{){\mathbf{K}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{{\mathbf{mv}}}^{{\mathbf{2}}}}$

For head-on collisions:

$\overline{){{\mathbf{v}}}_{\mathbf{1}\mathbf{f}}{\mathbf{=}}\frac{\mathbf{\left(}{\mathbf{m}}_{\mathbf{1}}\mathbf{-}{\mathbf{m}}_{\mathbf{2}}\mathbf{\right)}}{\mathbf{\left(}{\mathbf{m}}_{\mathbf{1}}\mathbf{+}{\mathbf{m}}_{\mathbf{2}}\mathbf{\right)}}{{\mathbf{v}}}_{{\mathbf{10}}}}$

and

$\overline{){{\mathbf{v}}}_{\mathbf{2}\mathbf{f}}{\mathbf{=}}\frac{\mathbf{2}{\mathbit{m}}_{\mathbf{1}}}{\mathbf{\left(}{\mathbf{m}}_{\mathbf{1}}\mathbf{+}{\mathbf{m}}_{\mathbf{2}}\mathbf{\right)}}{{\mathbf{v}}}_{{\mathbf{10}}}}$

87% (97 ratings) ###### Problem Details

The collision between a hammer and a nail can be considered to be approximately elastic. Calculate the kinetic energy acquired by a 13-g nail when it is struck by a 560-g hammer moving with an initial speed of 4.6m/s .

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Conservation of Momentum concept. You can view video lessons to learn Intro to Conservation of Momentum. Or if you need more Intro to Conservation of Momentum practice, you can also practice Intro to Conservation of Momentum practice problems.