The law of conservation of energy states that energy cannot be created nor destroyed, it just changes forms. Energy is also a scalar quantity, with no direction, just magnitude. There are several different kinds of energy, including kinetic and potential. Kinetic energy is the energy of motion, and it is calculated by half the mass multiplied by the square of the velocity of the object. Potential energy is the energy that an object has the potential of achieving. It's calculated by the mass multiplied by gravity and change in height.
Work is a change in energy. It's calculated by force multiplied by distance, and it's units are joules, or Newtons multiplied by meters.
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In this photo, with my dad enthusiastically running on the elliptical, he's showing work, or a change in kinetic energy because he started at a lower speed and gradually increased.
We also discussed Hooke's law, which states that the force of a spring is equal to -kd, with - indicating direction, k indicating the spring constant, or the slope, and d meaning distance that the spring is stretched or compressed.
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