Tank-killer rounds (fired by another tank) consist of a shell whose projectile is a long, slender (18.2 mm diameter by 31.7 cm long) cylindrical rod of depleted uranium of density 18.7 gm/cm3. Assume that the shell’s speed is 1550 m/s. You have developed a defense: you fire a counter-missile that hits the incoming projectile head-on and sticks to it. The object is to reduce the velocity of the combined lump to less than the minimum value that can penetrate your armor. In your case, that speed is 280 m/s (in your direction, of course). If your counter-missile weighs 2.83 kg, how fast must it be going to achieve this result? Give the speed, not the velocity.
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