All Flashcards
What is a scalar quantity?
A quantity with only magnitude (size).
What is a vector quantity?
A quantity with both magnitude and direction.
Define displacement.
The distance an object is from its starting point, with a direction.
Define velocity.
How fast something is moving in a specific direction.
What is a unit vector?
A vector with a magnitude of 1, used to represent direction (e.g., , , ).
What is speed?
How fast something is moving, irrespective of direction.
What is the effect of adding vectors without considering their direction?
Incorrect results when analyzing motion and forces.
What is the effect of using incorrect units in vector calculations?
Incorrect final answer and loss of points.
What happens if you ignore the direction of a force vector?
The calculated acceleration and resulting motion will be incorrect.
What is the result of correctly resolving a force vector into components?
Easier analysis of motion in multiple dimensions.
What is the effect of using the incorrect angle when resolving a vector?
The components will be calculated incorrectly, leading to an incorrect final answer.
What is the difference between distance and displacement?
Distance: Total path length traveled. Displacement: Change in position from the starting point, including direction.
What is the difference between speed and velocity?
Speed: How fast an object is moving (scalar). Velocity: How fast and in what direction an object is moving (vector).
Compare scalar and vector addition.
Scalar addition: Simple arithmetic. Vector addition: Requires considering both magnitude and direction, often using components.
How do scalars and vectors differ in mathematical operations?
Scalars: Obey standard algebraic rules. Vectors: Require special rules (e.g., vector addition, dot product, cross product).
Contrast the use of + and - signs for scalars vs. vectors in 1D.
Scalars: + and - indicate positive or negative values. Vectors: + and - indicate direction along a line.