Scale & Vectors

• What are the two types of quantities discussed in the video?

  Scalar and vector quantities
• What defines a scalar quantity?

  It has only magnitude, no direction
• What is another term for magnitude?

  Size
• Why is speed considered a scalar quantity?

  It does not have a direction
• Name three examples of scalar quantities.

  Distance, mass, temperature
• What defines a vector quantity?

  It has both magnitude and direction
• List three examples of vector quantities.

  Velocity, displacement, acceleration
• How does distance differ from displacement?

  Distance has no direction, displacement does
• If you walk three kilometers without a direction, what does this represent?

  A scalar quantity (distance)
• What happens when you specify a direction while walking three kilometers?

  It becomes a vector quantity (displacement)
• How do we visually represent vectors?

  Using arrows indicating magnitude and direction
• What does a longer arrow represent in vector representation?

  A greater magnitude of the vector
• How would you represent a vector of four kilometers north?

  An arrow pointing north, four units long
• What does a negative vector indicate?

  It points in the opposite direction
• What are the key differences between scalars and vectors?

  • Scalars: Only magnitude, no direction
  • Vectors: Both magnitude and direction
• What are the implications of using scalar versus vector quantities in physics?

  • Scalars simplify calculations
  • Vectors provide complete information about motion
• How can we represent the forces acting on the cyclist?

  Using arrows on a grid
• What does each centimeter represent in the scale drawing?

  One newton of force
• How do we find the resultant force using the scale diagram?

  By drawing a line from start to end point
• How do we convert the length of the resultant force into newtons?

  Each centimeter equals one newton
• How do we find the direction of the resultant force?

  By measuring the angle with a protractor
• What does it mean if forces are balanced on an object?

  The object is at equilibrium
• How do we find the overall force when three forces are acting on a particle?

  By arranging the arrows tip to tail
• What does it indicate if the arrows form a perfect triangle?

  There is zero resultant force
• What is the process of resolving vectors?

  Splitting a vector into components
• How do we resolve the 50 newton force into components?

  By drawing horizontal and vertical lines
• What is the process for finding the resultant force using scale drawings?

  1. Draw vector arrows tip to tail.
  2. Measure the resultant line.
  3. Convert the measurement using the scale.
  4. Measure the angle for direction.
• What are the steps to resolve a vector into its components?

  1. Draw the vector at the given angle.
  2. Draw horizontal and vertical lines.
  3. Measure the lengths of the components.
  4. Convert the measurements using the scale.