SUMMARY
The problem involves calculating the velocity of a 75-kg clown just before he hits a safety net after jumping from a height of 35 meters, with an air resistance force of 110 N acting on him. The net force acting on the clown is 625 N, resulting in an acceleration of 8.33 m/s². The correct formula to find the final velocity is \(v_{f}^{2} = v_{0}^{2} + 2a\Delta y\), leading to a calculation that requires careful attention to signs and units. The final velocity calculation must take the square root of the resulting value to obtain the correct speed.
PREREQUISITES
- Understanding of Newton's second law of motion (F=ma)
- Knowledge of kinematic equations for uniformly accelerated motion
- Familiarity with the concept of net force and air resistance
- Ability to perform unit conversions and dimensional analysis
NEXT STEPS
- Study the kinematic equations in detail, focusing on their applications in free fall scenarios
- Learn about the effects of air resistance on falling objects and how to calculate net forces
- Explore advanced topics in dynamics, including energy conservation in free fall
- Practice solving similar physics problems involving forces and motion
USEFUL FOR
This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of free fall and the impact of forces such as air resistance on motion.