"Plastic" projectiles are used to fight tanks. Explosives when such a projectile strikes a tank are spread over the armor and then explode. The wave generated by the explosion passes through the thickness of the armor and splits off a layer on the inside, flying off at high velocity. Find this velocity and the thickness of the chipped armor layer if the pressure on the armor in the explosion is P = 5⋅104 atm and it acts for time τ = 4⋅10−6 s. The speed of sound in the armor is c = 5 km/s, the density of the armor is ρ = 8⋅103 kg/m3.