Calculating Muzzle Velocity of a Tank's Gun for a Uranium Projectile

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To calculate the muzzle velocity of a tank's gun firing a uranium projectile, the mass was determined using the density and volume, resulting in 6651.45 grams. The kinetic energy formula was applied, leading to the equation 2,000,000 J = 1/2 (6651.45) v^2. Solving for v^2 yielded 601.37, giving a muzzle velocity of 24.53 m/s. The discussion raised concerns about unit consistency, specifically regarding grams and joules. Ensuring all quantities are in the same unit system is crucial for accurate calculations.
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Homework Statement



A uranium projectile fired from a tank in Iraq has a volume of 351.00 cm3 and an intital kinetic energy of
2.00 × 103 kJ. What is the muzzle velocity of the tank's gun (m/s) ?

The density of uranium is 18.95 g/cm3

Homework Equations



Density = mass / volume

KE= 1/2 m v^2

The Attempt at a Solution



Using volume and density I figured out the mass
m = dv m = (18.95)(351) = 6651.45 g
plug in kinetic energy formula

KE = 1/2 m v^2 2000000 J = 1/2 6651.45 v^2

so v^2 is 601.37 and therefore v = 24.53 m/s

It kept saying that I am wrong, please help
 
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Whether all quantities are taken same unit system?

what about gram and jule?
 
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