Podcast
Questions and Answers
What distinguishes a vector from a scalar?
What distinguishes a vector from a scalar?
- A vector is described by a magnitude and a direction, while a scalar is described by magnitude alone. (correct)
- A vector has a magnitude, while a scalar does not.
- A vector is a type of scalar that also includes acceleration.
- A vector can never be negative, while a scalar can be.
Which of the following quantities is a scalar?
Which of the following quantities is a scalar?
- 20 m/sec, Northeast
- 5 m (correct)
- Velocity of 15 m/sec
- 10 N at 30 degrees
In a rectangular coordinate system, how can any vector $ extbf{F}$ be expressed?
In a rectangular coordinate system, how can any vector $ extbf{F}$ be expressed?
- $ extbf{F} = rac{F_x + F_y}{2}$
- $ extbf{F} = F_x + F_y$
- $ extbf{F} = F_x extbf{i} + F_y extbf{j}$ (correct)
- $ extbf{F} = F_x - F_y$
Which statement accurately describes speed and velocity?
Which statement accurately describes speed and velocity?
What is the primary goal of studying kinematics?
What is the primary goal of studying kinematics?
Flashcards
Scalar Quantity
Scalar Quantity
A physical quantity that is fully described by its magnitude (numerical value) alone.
Vector Quantity
Vector Quantity
A physical quantity that is fully described by both its magnitude and direction.
Unit Vector
Unit Vector
A vector with a magnitude of exactly 1.
Components of a Vector
Components of a Vector
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2-D Vector Representation
2-D Vector Representation
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Study Notes
Kinematics
- Kinematics is the study of describing object motion using words, diagrams, numbers, graphs, and equations
- Goal is to create sophisticated models to explain real-world object motion
Scalars and Vectors
- Object motion can be described using mathematical quantities (scalars or vectors)
- Scalars are described by magnitude only
- Vectors are described by both magnitude and direction
- Examples:
- Scalar: distance, speed, 20 degrees Celsius
- Vector: displacement, velocity, 30 m/sec, East
Check Your Understanding
- 5m - Scalar
- 30 m/sec, East - Vector
- 20 degrees Celsius - Scalar
Vector Representation in 2-D
- Base vectors in a rectangular x-y coordinate system are the unit vectors à and j along the x and y directions
- Any vector F can be represented as F = Fx à + Fy j
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