MEX-014 · Dynamics and conservation laws Sample material

Energy and the law of conservation of energy

Kinetic and potential energy, the work–energy theorem, the law of conservation of mechanical energy and the energy balance in the presence of friction.

Estimated time: 2 h 50 min 3 activities

Learning objective

Understand kinetic and potential energy and their relation to work.
Derive and apply the work–energy theorem.
Master the law of conservation of mechanical energy and the conditions of its validity.
Learn to write the energy balance when non-conservative forces act.

Expected outcomes

Calculates energy using $E_k = mv^2/2$, $E_p = mgh$ and $E_p = kx^2/2$.
Finds speeds, heights and deformations using the conservation law.
Determines the heat released by friction from the energy balance.

Interactive modelConservation of mechanical energy

Activities

Lecture
Lecture · 1 h 15 min · required
Problem solving: the law of conservation of energy
Practice · 1 h 15 min · required
Final test
Test · 20 min · required · pass ≥ 70%

Completion conditions

  • Lecture
  • Problem solving: the law of conservation of energy
  • Final test — at least 70%