Calculating Impact Depth & Speed for 1kg Steel Piece

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To calculate the impact depth of a 1kg steel piece hitting a steel surface at 5m/s, one must consider the material's shear strength of 0.345 kN/mm². The depth of impact can be estimated using energy and force equations, factoring in the kinetic energy of the steel piece and the resistance offered by the surface. To determine the speed required for the steel piece to penetrate a 1cm thick steel sheet, calculations involving the same shear strength are necessary, along with the energy transfer during impact. After penetration, the remaining speed of the steel piece can be calculated by considering the energy lost during the impact and penetration process. Accurate calculations will depend on the specific formulas applied and assumptions made regarding material properties and impact dynamics.
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If 1kg piece of steel hits steel surface with speed of 5m/s, how can you
calculate the depth of the impact? Let's assume that the steel has
0.345 kN/mm2 material shear strength.

Second question is that how much speed is needed to that same steel piece
to penetrate 1cm thick steel sheet (using the same shear strength), and
what's the speed of the 1kg steel piece after the penetration?
 
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jozne said:
If 1kg piece of steel hits steel surface with speed of 5m/s, how can you calculate the depth of the impact?
Please show your work first. If this is a homework/textbook problem, please post the original question EXACTLY as it was given to you.
 

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