MEX-012 · Dynamics and conservation laws Sample material

Collisions and jet propulsion

Applying the conservation of momentum and energy to elastic and inelastic collisions, the coefficient of restitution; jet propulsion — the motion of a variable-mass system, the Meshchersky equation and the Tsiolkovsky formula.

Estimated time: 2 h 50 min 5 activities

Learning objective

Know the types of collisions (perfectly elastic, perfectly inelastic, inelastic) and the coefficient of restitution.
Derive the velocities after a collision from the conservation of momentum and energy.
Understand the principle of jet propulsion and the Meshchersky equation.
Learn to use the Tsiolkovsky formula and calculate the reactive thrust.

Expected outcomes

Calculates velocities and kinetic-energy loss in central elastic and inelastic collisions.
Solves the problem of finding a bullet's speed with a ballistic pendulum.
Calculates a rocket's thrust, acceleration and velocity gain.
Explains the advantage of multistage rockets.

Interactive modelJet propulsion: a rocket
Interactive modelCart collisions and momentum

Activities

Lecture
Lecture · 1 h 15 min · required
Problem solving on the law of conservation of momentum
Practice · 1 h 15 min · required
Mechanics of variable-mass bodies
Self-study · 6 h 15 min · optional
The Meshchersky equation
Self-study · 6 h 15 min · optional
Final test
Test · 20 min · required · pass ≥ 70%

Completion conditions

  • Lecture
  • Problem solving on the law of conservation of momentum
  • Final test — at least 70%