An aluminum extrusion process is simulated numerically with a computer.

In this process, a punch pushes an aluminum billet of diameter D through a die of smaller diameter d. In the computer simulation, what is the maximum punch velocity V_p

so that the net dynamic force (predicted by the simulation) acting on

the aluminum during extrusion is at most 5% of the force due to

deformation of the aluminum? Evaluate for a specific case where D = 0.10 m, d = 0.02 m, and the density of aluminum is ρ = 2700 kg/m³.