Relationships in Physics: Proportionality and Graphs

This video tutorial covers the four main proportional relationships in IB physics: linear, quadratic, inverse, and inverse square. It explains the notation used to denote proportionality and the implications of these relationships. The tutorial provides examples to illustrate how to identify and understand these relationships in equations and how they are represented graphically. By holding other variables constant, students can determine the type of relationship between two variables and predict the shape of their graph.

What does the symbol that looks like a fish represent in proportional relationships?

• It represents 'is proportional to'.

• It represents a variable.

• It represents a constant value.

• It represents equality.

In a linear relationship, how is the graph of Y versus X typically represented?

• As a curved line.

• As a straight line.

• As a parabolic curve.

• As a horizontal line.

What is the relationship between Y and X in a quadratic relationship?

• Y is proportional to 1/X squared.

• Y is proportional to X squared.

• Y is proportional to 1/X.

• Y is proportional to X.

In an inverse relationship, how is Y related to X?

• Y is proportional to 1/X squared.

• Y is proportional to X squared.

• Y is proportional to 1/X.

• Y is proportional to X.

What type of graph represents an inverse-square relationship?

• A straight line.

• A parabolic curve.

• A hyperbolic curve.

• A curve that decreases rapidly.

How is force related to acceleration in a linear relationship?

• Force is inversely proportional to acceleration.

• Force is proportional to 1 over acceleration.

• Force is proportional to the square of acceleration.

• Force is proportional to acceleration.

What is the relationship between mass and acceleration when force is constant?

• Mass is proportional to 1 over the square of acceleration.

• Mass is proportional to the square of acceleration.

• Mass is inversely proportional to acceleration.

• Mass is proportional to acceleration.

What type of relationship exists between gravitational field and distance from the source?

• Inverse-square relationship.

• Quadratic relationship.

• Linear relationship.

• Inverse relationship.

How is momentum related to velocity according to the graph?

• Momentum is proportional to velocity.

• Momentum is proportional to the square of velocity.

• Momentum is inversely proportional to velocity.

• Momentum is proportional to 1 over velocity.

What does a quadratic pattern in a kinetic energy versus velocity graph indicate?

• Kinetic energy is proportional to velocity.

• Kinetic energy is inversely proportional to velocity.

• Kinetic energy is proportional to velocity squared.

• Kinetic energy is proportional to 1 over velocity squared.