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

  • Thread starter Thread starter SamTsui86
  • Start date Start date
  • Tags Tags
    Energy
Click For Summary
SUMMARY

The discussion focuses on calculating the muzzle velocity of a tank's gun when firing a uranium projectile with a volume of 351.00 cm³ and an initial kinetic energy of 2.00 × 10³ kJ. The density of uranium is established at 18.95 g/cm³, leading to a calculated mass of 6651.45 g. Using the kinetic energy formula KE = 1/2 m v², the muzzle velocity is determined to be 24.53 m/s. The user seeks clarification on unit consistency, particularly regarding grams and joules.

PREREQUISITES
  • Understanding of kinetic energy equations (KE = 1/2 m v²)
  • Knowledge of density calculations (Density = mass / volume)
  • Familiarity with unit conversions (grams to kilograms, joules to kilojoules)
  • Basic physics principles related to projectile motion
NEXT STEPS
  • Review unit conversion techniques, especially between grams and kilograms
  • Explore the implications of kinetic energy in projectile motion
  • Study the effects of different projectile materials on velocity calculations
  • Investigate advanced topics in ballistics and energy transfer
USEFUL FOR

This discussion is beneficial for physics students, engineers in the defense sector, and anyone interested in ballistics calculations involving projectiles and kinetic energy.

SamTsui86
Messages
30
Reaction score
0

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
 
Physics news on Phys.org
Whether all quantities are taken same unit system?

what about gram and jule?
 

Similar threads

Find the height of a lamp based on the velocities of projectiles
  • · Replies 40 ·
2
Replies
40
Views
3K
Body attached to a block by a spring, shaped like an inclined plane
  • · Replies 1 ·
Replies
1
Views
1K
How Is Potential Energy Converted to Kinetic Energy in Physical Systems?
  • · Replies 6 ·
Replies
6
Views
1K
Gun-Projectile Elastic Collision
  • · Replies 24 ·
Replies
24
Views
3K
Finding velocity and momentum of a bullet and recoiling gun
  • · Replies 2 ·
Replies
2
Views
6K
Finding kinetic energy and initial velocity of a cart over time
  • · Replies 6 ·
Replies
6
Views
2K
Cannon Muzzle Velocity Question ( Solved )
  • · Replies 2 ·
Replies
2
Views
3K
Projectile Motion : Work and Energy
  • · Replies 4 ·
Replies
4
Views
2K
I need opinions on a Projectile Motion problem that I made up
  • · Replies 11 ·
Replies
11
Views
2K
Using Momentum, KE and PE to solve this skier velocity problem
  • · Replies 13 ·
Replies
13
Views
3K