Understanding Mechanical Energy
Mechanical energy is the sum of potential energy (PE) and kinetic energy (KE).
* Potential Energy (PE): Energy stored due to an object's position or height. PE = mgh, where:
* m = mass (kg)
* g = acceleration due to gravity (approximately 9.8 m/s²)
* h = height (m)
* Kinetic Energy (KE): Energy possessed by an object due to its motion. KE = 1/2 mv², where:
* m = mass (kg)
* v = velocity (m/s)
Calculations
1. Potential Energy:
PE = (0.1 kg) * (9.8 m/s²) * (1.5 m) = 1.47 Joules
2. Kinetic Energy:
KE = 1/2 * (0.1 kg) * (2 m/s)² = 0.2 Joules
3. Total Mechanical Energy:
Total Mechanical Energy = PE + KE = 1.47 J + 0.2 J = 1.67 Joules
Answer: The total mechanical energy of the paper airplane is 1.67 Joules.
