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
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