Physics Concepts and Calculations

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Questions and Answers

What is the primary difference between scalar and vector quantities?

  • Scalars have direction, vectors do not.
  • Vectors have magnitude and direction, scalars have only magnitude. (correct)
  • Vectors are only used in physics, scalars are used in all sciences.
  • Scalars are always positive, vectors can be negative.

An object falling from a height will have a constant velocity until it hits the ground.

False (B)

What is the acceleration of an object moving with a velocity of 14.5 m/s [S] from an initial velocity of 4.25 m/s [S] over 2.1 seconds?

4.9 m/s² [S]

The distance an object travels is always __________ than or equal to its displacement.

<p>greater</p> Signup and view all the answers

Match the following situations with the correct kinematic variable:

<p>An object falling for 0.75 s = Height is 2.76 m An object stopping from 21.6 m/s = Acceleration is 2.6 m/s² [W] A path consisting of 15 km [N] and 36 km [E] = Displacement is 39 km [NE] Moving in a circular path with 6.25 m/s = Centripetal acceleration is 14 m/s²</p> Signup and view all the answers

Which of the following statements best describes the relationship between average velocity and instantaneous velocity?

<p>Average velocity is calculated for the whole distance, while instantaneous velocity is for a specific point in time. (A)</p> Signup and view all the answers

Relative velocity considers the motion of two or more objects with respect to each other.

<p>True (A)</p> Signup and view all the answers

To calculate the speed of an object that travels 51 km in 3.75 hours, use the formula: speed = __________.

<p>distance/time</p> Signup and view all the answers

Flashcards

Acceleration

The change in velocity per unit of time.

Velocity

The rate at which an object changes position over time.

Vector Quantity

A quantity that has both magnitude and direction.

Distance

The total distance traveled, regardless of direction.

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Scalar Quantity

A quantity described only by its magnitude.

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Displacement

The straight line distance between the starting and ending points.

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Average Velocity

The change in position over a given time interval.

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Instantaneous Velocity

The velocity of an object at a particular instant in time.

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Study Notes

Physics Concepts

  • History of physics with key advances
  • Scientific Method
  • Proportional Relationships
  • Scalar vs. Vector Quantities
  • Vector Addition (1-D and 2-D)
  • Relative Velocities
  • Aristotle vs. Galileo – Falling Objects
  • Kinematic Variables
  • Average vs. Constant vs. Instantaneous velocities
  • d/t and v/t graphs

Calculations

  • Object Dropped from Ladder: An object dropped from a ladder hits the ground in 0.75 seconds. Its height is 2.76 meters.
  • Object Dropped from CN Tower: An object dropped from the CN Tower hits the ground in 10.6 seconds. Its height is 551 meters.
  • Velocity at Impact (Question 1): The velocity of the object from the ladder, upon hitting the ground is 7.4 m/s.
  • Velocity at Impact (Question 2): The velocity of the object from the CN tower, upon hitting the ground is 104 m/s.
  • Path Calculation (15 km N, 36 km E): An object traveling 15 km North and 36 km East covers a total distance of 51 km. Its displacement is 39 km Northeast.
  • Speed and Velocity (Question 4): If the trip in question 4 takes 3.75 hours, the speed is 13.6 km/hr and velocity is 10.4 km/hr (Northeast).
  • Path Calculation (10 m W, 6 m N, 6 m E, 3 m S): An object traveling 10 m West, 6 m North, 6 m East, and 3 m South has a total distance covered of 25 meters. Its displacement is 5 meters NorthWest.
  • Speed and Velocity (Question 6): If the trip in question 6 takes 2.5 seconds, the speed is 10 m/s and velocity is 2 m/s (NorthWest).
  • Velocity Increase: An object with an initial velocity of 4.25 m/s South increases to 14.5 m/s South over 2.1 seconds. The acceleration is 4.9 m/s² South.
  • Velocity to Zero: An object moving at 21.6 m/s East comes to a complete stop in 8.3 seconds. The acceleration is 2.6 m/s² West.
  • Circular Motion (Constant Velocity): For an object moving in a circular path at a constant velocity of 6.25 m/s with a radius of 2.8 m its acceleration is 14 m/s².
  • Circular Motion (Constant Velocity): For an object moving in a circular path at a constant velocity of 2.5 m/s with a radius of 1.1 m its acceleration is 5.7 m/s².

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