1. The great Roman Poet, Lucretius wrote, "Things cannot be born from nothing, cannot when begottend brought back to nothing." This statement became an accepted theory as a result of the work of the chemist, Lavoisier in the 18th century. This is the law of conservation of matter. Similarly, the law of conservation of energy is an important law in physics. Can you discuss the validity of the conservation of energy in terms of potential (gravitational or elastic) and kinetic energy by giving real-life applications?
All discussions should include an in depth analysis and references.

2. You can stop a mosquito travelling at a certain speed towards you by intercepting it with your hand. Can you do the same for a car moving at the same speed as a mosquito? Discuss this scenario using your knowledge on momentum and impulse.