SUMMARY
The discussion focuses on calculating the barrel length of a cannon based on impulse and velocity. The impulse is given as 2.5 x 103 N·s, and the mass of the cannon ball is 65 kg. The cannon ball exits the cannon at a velocity of 120 km/h, which is equivalent to 33.33 m/s. The user initially calculated the barrel length as 3.85 m but found it incorrect. The correct approach involves using the impulse-momentum theorem and kinematic equations to determine both the acceleration and the distance traveled within the barrel.
PREREQUISITES
- Understanding of impulse and momentum concepts
- Familiarity with kinematic equations
- Basic knowledge of Newton's second law (F=ma)
- Conversion of units (e.g., km/h to m/s)
NEXT STEPS
- Review the impulse-momentum theorem and its applications
- Study kinematic equations in detail, focusing on distance and acceleration
- Practice unit conversions, specifically between km/h and m/s
- Explore examples of similar physics problems involving projectile motion
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators looking for practical examples of impulse and motion calculations.