How deep does a 1kg steel ball penetrate at 5m/s?

[jozne]

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?

 

[Gokul43201]

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.