A uranium projectile fired from a tank in Iraq has a volume of 322.10 cm3?

Question

and an intital kinetic energy of
1.98 × 103 kJ. What is the muzzle velocity of the tank's gun (m/s2) ?



The density of uranium is 18.95 g/cm3

it's 1.98 x 10^3

Answer 1

Kinetic energy = (1/2)(mass)(velocity^2)

Do the unit conversions to make sure your units are consistent and plug and chug.

Answer 2

K = (1/2)mv^2 = (1/2)ρVv^2
v = √(2K/(ρV))
v = √(2(1.98 × 10^33 kg-m^2/s^2)/((18.95 g/cm3)(322.10 cm3)(1 kg/1,000 g)))
v = √(2(1.98 × 10^6 m^2/s^2)/((18.95)(322.10)))
v ≈ 482.68 m/s for the projectile described and the energy given.