SUMMARY
The speed of a projectile when it leaves a cannon can be calculated using the conservation of energy principle and gravitational potential energy equations. The projectile reaches a height of 35,000 m, and the correct initial speed is determined to be 827 m/s, corresponding to option B. The relevant formula used is v = √(GM/r), where G is the gravitational constant, M is the mass of the Earth, and r is the distance from the center of the Earth.
PREREQUISITES
- Understanding of gravitational potential energy
- Familiarity with the conservation of energy principle
- Knowledge of the formula v = √(GM/r)
- Basic concepts of projectile motion
NEXT STEPS
- Study gravitational potential energy calculations
- Learn about the conservation of energy in physics
- Explore the derivation of the formula v = √(GM/r)
- Investigate projectile motion and its equations
USEFUL FOR
Students studying physics, educators teaching mechanics, and anyone interested in understanding projectile motion and energy conservation principles.