Scalar/Vector Quantities: Definition and Examples (EASY LEVEL)
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Questions and Answers

What is a physical quantity?

  • An object that takes up space.
  • Something that cannot be measured.
  • A theoretical concept.
  • Something that can be measured. (correct)

A scalar quantity is defined by what?

  • Magnitude and direction.
  • Direction only.
  • Magnitude only. (correct)
  • Neither magnitude nor direction.

If you add one scalar quantity to another scalar quantity, what are you finding?

  • The derivative.
  • The integral.
  • The sum. (correct)
  • The limit.

What is the total mass of a 50 kg box with a 10 kg book on top of it?

<p>60 kg (B)</p> Signup and view all the answers

If the temperature in a room decreases from 25°C to 20°C, what is the change in temperature?

<p>-5°C (C)</p> Signup and view all the answers

What defines a vector quantity?

<p>Both magnitude and direction (C)</p> Signup and view all the answers

Which of the following is an example of a vector quantity?

<p>Direction (D)</p> Signup and view all the answers

How is the magnitude of a vector represented in a diagram?

<p>The length of the arrow (A)</p> Signup and view all the answers

What is the direction of a vector?

<p>An attribute associated with the vector (B)</p> Signup and view all the answers

Compared to scalar quantities, what additional characteristic do vector quantities possess?

<p>Direction (C)</p> Signup and view all the answers

What type of quantities do scientists often measure?

<p>Scalars and vectors (C)</p> Signup and view all the answers

A resultant force is the combination of all forces acting on an object.

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

When forces are balanced, what is the value of the resultant force?

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

Two forces acting in the same __________ produce a greater resultant force.

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

What are vector diagrams used for?

<p>To break down a single force into component forces (B)</p> Signup and view all the answers

Flashcards

Physical Quantity

Something that can be measured.

Scalar Quantities

Physical quantities with only a magnitude (size).

Magnitude

The size or amount of something, expressed as a numerical value.

Sum of Scalars

Adding their numerical values together.

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Subtracting Scalars

Subtracting one value from the other.

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Vector Quantities

Physical quantities with both magnitude and direction.

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Vector Representation

A way to represent vectors, where the length indicates magnitude and the arrow shows direction.

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Vector Direction

A way to indicate the direction a vector is pointing.

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Scalar vs. Vector

Physical amounts that are treated differently in computations.

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Resultant Force

A single force that has the same effect as multiple forces acting together.

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Balanced Forces

The resultant force is zero.

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Forces in Same Direction

The resultant force is the sum of their magnitudes.

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Forces in Opposite Directions

Subtract the smaller magnitude from the larger magnitude to find the resultant force.

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Free Body Diagrams

Diagrams showing forces acting on an object, consider all acting forces.

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Study Notes

  • Physical quantities are measurable attributes.
  • Scalar quantities possess only magnitude.
  • The sum of scalar quantities is calculated by adding their values.
  • As an example, the total mass of a 75 kg climber with a 15 kg backpack is calculated by adding 75kg + 15kg.
  • Scalar quantities can be subtracted by subtracting one value from another.
  • For example, the increase in temperature in a room heated from 12°C to 21°C is calculated by subtracting 12°C from 21°C.
  • Vector quantities possess both magnitude and direction.
  • The direction of a vector can be given in a written description, or drawn as an arrow.
  • The length of an arrow represents the magnitude of the vector quantity when drawn.
  • The resultant force is a single force with the same effect as two or more forces acting together.
  • The resultant force of two forces acting in a straight line can be easily calculated.
  • Forces acting in the same direction produce a resultant force that is greater than either individual force, and are calculated by adding the magnitudes of the two forces together.
  • Forces acting in opposite directions produce a resultant force that is smaller than either individual force, and is calculated by subtracting the magnitude of the smaller force from the magnitude of the larger force.
  • Free body diagrams describe situations where several forces act on an object.
  • Vector diagrams are used to resolve a single force into two forces acting at right angles to each other.

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Explore scalar quantities, which are measurable attributes possessing only magnitude. Learn how to calculate the sum and difference of scalar quantities using real-world examples like calculating total mass and temperature change. Understand the fundamental properties of scalars.

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