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Multiple Choice
Which formula correctly represents the calculation of mechanical energy in a system?
A
Mechanical Energy = Kinetic Energy - Potential Energy
B
Mechanical Energy = Kinetic Energy × Potential Energy
C
Mechanical Energy = Kinetic Energy + Potential Energy
D
Mechanical Energy = Potential Energy - Kinetic Energy
Verified step by step guidance
1
Understand the concept of mechanical energy: Mechanical energy is the sum of kinetic energy and potential energy in a system. It represents the total energy available to do work.
Identify the components: Kinetic energy is the energy of motion, given by the formula \( KE = \frac{1}{2}mv^2 \), where \( m \) is mass and \( v \) is velocity. Potential energy is the energy stored due to position, often given by \( PE = mgh \) for gravitational potential energy, where \( m \) is mass, \( g \) is acceleration due to gravity, and \( h \) is height.
Analyze the given options: The problem provides several formulas for mechanical energy. We need to determine which one correctly represents the sum of kinetic and potential energy.
Evaluate the correct formula: The correct formula for mechanical energy is \( ME = KE + PE \), which means mechanical energy is the sum of kinetic and potential energy.
Conclude with the correct understanding: The correct representation of mechanical energy in a system is \( ME = KE + PE \), confirming that mechanical energy is the total energy due to both motion and position.