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Questions and Answers
What is the magnitude of the free-fall acceleration?
What is the magnitude of the free-fall acceleration?
- It depends on the mass of the object
- 0 m/s^2
- -9.8 m/s^2
- 9.8 m/s^2 (correct)
What is the direction of the free-fall acceleration?
What is the direction of the free-fall acceleration?
- Upward
- It varies depending on the location
- Horizontal
- Downward (correct)
How does the direction of motion change when dealing with free-falling motion?
How does the direction of motion change when dealing with free-falling motion?
- The direction of motion does not change
- The motion is along a horizontal axis
- The motion remains along the x-axis
- The motion is along a vertical y-axis with upward as positive direction (correct)
Why is the free-fall acceleration always negative?
Why is the free-fall acceleration always negative?
What is the key difference between falling upward and falling downward?
What is the key difference between falling upward and falling downward?
In the equation 𝑣 = 𝑣𝑜 − g𝑡, what does 𝑣 represent?
In the equation 𝑣 = 𝑣𝑜 − g𝑡, what does 𝑣 represent?
What is the maximum height reached by the ball thrown up with an initial speed of 12 m/s?
What is the maximum height reached by the ball thrown up with an initial speed of 12 m/s?
Which physical quantity is an example of a scalar?
Which physical quantity is an example of a scalar?
What is the method called for adding vectors geometrically?
What is the method called for adding vectors geometrically?
How are vectors represented graphically?
How are vectors represented graphically?
When adding vectors geometrically, the vector sum (or resultant) of the vectors AB and BC is represented by which of the following?
When adding vectors geometrically, the vector sum (or resultant) of the vectors AB and BC is represented by which of the following?
What is the representation of vectors graphically?
What is the representation of vectors graphically?
Which method can be used to add vectors?
Which method can be used to add vectors?
What is the correct representation of the vector equation for adding vectors?
What is the correct representation of the vector equation for adding vectors?
Which type of physical quantity has only magnitude and no direction?
Which type of physical quantity has only magnitude and no direction?
What is the correct method of adding vectors geometrically?
What is the correct method of adding vectors geometrically?
Which property describes the effect of adding a vector with the same magnitude but opposite direction?
Which property describes the effect of adding a vector with the same magnitude but opposite direction?
How do you convert a vector to its components?
How do you convert a vector to its components?
What are the x-axis and y-axis components of a vector with a magnitude of 10 and making an angle of 30° with the positive x-axis?
What are the x-axis and y-axis components of a vector with a magnitude of 10 and making an angle of 30° with the positive x-axis?
In Example 2, what is the correct magnitude and direction of vector C with components Cx = 10 and Cy = 5?
In Example 2, what is the correct magnitude and direction of vector C with components Cx = 10 and Cy = 5?
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Study Notes
Free-Fall Motion
- The magnitude of the free-fall acceleration is 9.8 m/s² (on Earth).
- The direction of the free-fall acceleration is downward, towards the center of the Earth.
- The direction of motion changes when dealing with free-falling motion, as the object's velocity changes from upward to downward.
- The free-fall acceleration is always negative because it's directed downward.
Motion Equations
- In the equation 𝑣 = 𝑣𝑜 − g𝑡, 𝑣 represents the final velocity of an object.
- The maximum height reached by a ball thrown up with an initial speed of 12 m/s can be calculated using the equation.
Scalars and Vectors
- A scalar is a physical quantity with only magnitude and no direction, such as temperature.
- Vectors are represented graphically as arrows, with both magnitude and direction.
- The method of adding vectors geometrically is called the head-to-tail method.
- The vector sum (or resultant) of the vectors AB and BC is represented by the diagonal of the parallelogram formed by the two vectors.
Vector Operations
- Vectors can be added geometrically using the head-to-tail method.
- The correct representation of the vector equation for adding vectors is R = A + B.
- When a vector with the same magnitude but opposite direction is added, it results in a zero vector, which is known as the inverse property.
Vector Components
- To convert a vector to its components, the vector is resolved into its x-axis and y-axis components.
- The x-axis and y-axis components of a vector with a magnitude of 10 and making an angle of 30° with the positive x-axis can be calculated using trigonometry.
- In Example 2, the correct magnitude and direction of vector C with components Cx = 10 and Cy = 5 can be calculated using the Pythagorean theorem.
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