UP:SC15.8.13
Vocabulary
- Graphical display
- Data
- Kinetic energy
- Motion
- Mass
- Speed linear
- Nonlinear
- Proportional
Knowledge
Students know:
- Kinetic energy is energy that an object possesses due to its motion or movement.
- Kinetic energy increases if either the mass or the speed of the object increases or both.
- Kinetic energy decreases if either the mass or the speed of the object decreases or both. The relationship between kinetic energy and mass is a linear proportional relationship (KE ∝ m).
- In the linear proportional relationship, the kinetic energy doubles as the mass of the object doubles.
- In the linear proportional relationship, the kinetic energy halves as the mass of the object halves.
- The relationship between kinetic energy and speed is a nonlinear (square) proportional relationship (KE ∝ v2).
- In the nonlinear proportional relationship, the kinetic energy quadruples as the speed of the object doubles.
- In the nonlinear proportional relationship, the kinetic energy decreases by a factor of four as the speed of the object is cut in half.
Skills
Students are able to:
- Develop a graphical display of data that illustrates the relationships between kinetic energy and the mass and speed of an object.
- Use observations from the display of data to provide causal accounts for events and make predictions for events by constructing explanations.
Understanding
Students understand that:
- The relationship between kinetic energy, mass, and speed is proportional.
Scientific and Engineering Practices
Analyzing and Interpreting Data
Crosscutting Concepts
Scale, Proportion, and Quantity