scalars and vectors

Question 1

What is a scalar quantity?

Answer 1

A scalar quantity is a physical quantity that has magnitude only and no direction.

Question 2

What is a vector quantity?

Answer 2

A vector quantity is a physical quantity that has both magnitude and direction.

Question 3

True or False: Speed is a scalar quantity.

Answer 3

True

Question 4

True or False: Velocity is a vector quantity.

Answer 4

True

Question 5

Fill in the blank: The formula for calculating distance is __________.

Answer 5

Distance = Speed × Time

Question 6

What is the difference between distance and displacement?

Answer 6

Distance is a scalar quantity representing the total path length, while displacement is a vector quantity representing the shortest path between two points.

Question 7

What is the unit of measurement for vectors in physics?

Answer 7

The unit of measurement for vectors can vary, but common units include meters (m) for displacement, meters per second (m/s) for velocity, and newtons (N) for force.

Question 8

What is the resultant vector?

Answer 8

The resultant vector is the vector sum of two or more vectors.

Question 9

In vector addition, what is the head-to-tail method?

Answer 9

The head-to-tail method involves placing the tail of one vector at the head of another to determine the resultant vector.

Question 10

True or False: When adding vectors, their magnitudes must be the same.

Answer 10

False

Question 11

What does it mean to resolve a vector?

Answer 11

To resolve a vector means to break it down into its components, typically along the x and y axes.

Question 12

What is the Pythagorean theorem used for in vector analysis?

Answer 12

The Pythagorean theorem is used to calculate the magnitude of a resultant vector from its perpendicular components.

Question 13

Fill in the blank: The formula for finding the magnitude of a resultant vector R from components Ax and Ay is __________.

Answer 13

R = √(Ax² + Ay²)

Question 14

What direction does a vector pointing east represent?

Answer 14

A vector pointing east represents motion or force directed towards the east.

Question 15

True or False: All scalar quantities can be represented as a vector.

Answer 15

False

Question 16

What is the significance of the angle in vector components?

Answer 16

The angle helps determine the direction of the vector components when resolving a vector.

Question 17

What is the difference between uniform motion and accelerated motion?

Answer 17

Uniform motion occurs at a constant speed in a straight line, while accelerated motion involves a change in velocity.

Question 18

What is speed?

Answer 18

Speed is the distance traveled per unit of time, a scalar quantity.

Question 19

What is the formula for average velocity?

Answer 19

Average velocity = (Final position - Initial position) / Time interval

Question 20

What is the impact of direction on velocity?

Answer 20

Velocity is affected by direction; two objects can have the same speed but different velocities if they move in different directions.

Question 21

Fill in the blank: The vector quantity that describes the rate of change of position is called __________.

Answer 21

Velocity

Question 22

What are the two components of a vector in a two-dimensional plane?

Answer 22

The two components of a vector in a two-dimensional plane are the horizontal (x) and vertical (y) components.

Question 23

What does it mean for two vectors to be orthogonal?

Answer 23

Two vectors are orthogonal if they are perpendicular to each other, meaning their dot product is zero.

Question 24

True or False: The net force acting on an object is a scalar quantity.

Answer 24

False

Question 25

What is the principle of superposition in vector addition?

Answer 25

The principle of superposition states that the resultant vector is the sum of all individual vectors acting on a point.