Mechanical Energy Worksheet

Key point

  • Mechanical Energy is the energy possessed by an object due to its position and motion

Mechanical Energy is the energy possessed by an object due to its position and its motion.

Potential Energy is the energy of a system due to its position or shape and represents the work done by an external agent in bringing the system to that position or shape.

Kinetic Energy is the energy an object possesses because of its motion.

There are two major kinds of potential energy: 

  1. Elastic Potential Energy is the work done by pulling the spring by an amount x. 
  • k = spring constant
  • x = displacement

Formula Booklet

Elastic Potential Energy Formula/Equation IB

Formula Booklet

Gravitational Potential Energy Formula/Equation IB

There are two major kinds of potential energy: 

  1. Elastic Potential Energy
  2. Gravitational Potential Energy is the work done by the moving force in placing the body at a height h above its initial position.
  • m = mass
  • g = gravitational acceleration
  • h = height

Potential Energy is the property of a system, not of an individual particle.

Kinetic Energy is the energy an object possesses due to its motion.

  • Kinetic energy is always positive or 0
  • Kinetic energy is a scalar
  • m = mass
  • v = velocity

Formula Booklet

Kinetic Energy Formula/Equation IB

Not in Formula Booklet but important

Total Energy Equation/Formula IB

If the system in question is in contact with its surroundings at a different temperature then there will be a transfer of heat, Q. 

If there is no contact or no temperature difference, then Q = 0.

For a single particle of mass following equation is true.

  • Notice how when kinetic energy is at its maximum, potential energy must be at its minimum
  • This structure is the foundation is almost all energy questions

Not in Formula Booklet but important

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