Motion in a plane

Question 1

What is a vector?

Answer 1

A vector has both direction & magnitude (sometimes drawn with a arrow above it)

Question 2

What is a scalar?

Answer 2

Only containes magnitude no direction

Question 3

Absolute value bars are also used to stand for the magnitude of a vector (scalar) so scalras can’t be ________ only positive or zero

Answer 3

Negative

Question 4

When doing vector addition or adding with vectors a plus sign between two vectors quantities indicates __________ & an equal sign between two vectors quantities means that the vector are identical in magnitude & direction

Answer 4

Vector addition

Question 5

What is a resultant

Answer 5

A resultant is the sum of two or more vectors

Question 6

When adding vectors draw your first arrow & then draw your second arrow by placing the ______ of the 2nd arrow at the tip of the first one after that draw an arrow starting from the tail of the first arrow & ending at the tip of the 2nd arrow (this is the resultant arrow)

Answer 6

Tail

Question 7

To add more than 2 vectors just keep drawing the arrow ____________ & the sum is the resultant

Answer 7

Tip to tail

Question 8

Vector subtraction

Answer 8

To subtract a vector you have to add its opposite (a vector with the same magnitude but opposite direction)

Question 9

When delta is used with a vector quantity its always represents _____________

Answer 9

Vector subtraction

Question 10

Any direction in the __________ plane can be specified by giving an angle with respect to north, south, east, or west

Answer 10

Horizontal

Question 11

Displaceent is a ___________

Answer 11

Vector

Question 12

What is successive displacement?

Answer 12

The total displacement for a trip with several parts is the vector sum of the displacement for each part of the trip

Question 13

Position vectors are subtracted to find the __________ & successive displacement are added to find the total displacement

Answer 13

Displacement

Question 14

The x- component of a position vector or any vector is the _____________

Answer 14

x-coordinate

Question 15

The sign of the components indicated the _________, if position then in positive direction x direction & negative the in the negative x - direction

Answer 15

direction

Question 16

What does it mean when said resolving the vector into components

Answer 16

Is the process of finding the components of a vector

Question 17

Before resolivng a vector into components you must choose a _____________ system

Answer 17

Coordinate system (the direction of x & y axes)

Question 18

What are the steps for finding the x & y components of a vector from its magntitude & direction?

Answer 18

1. Draw a right triangle with the vector resultant as the hypotanue & the other two sides (the components) parallel to the x & y-axes
2. Determine one of the unknown angles in the triangle
3. Use trig functions such as sin, cos, tangent, etc to find the magnitude of the compound (degree mode for angle in degree & radian mode for angle in radians)
4. Determine the correct algebraic sign for each compound

Question 19

What are the steps for finding the magntiude & direction of a vector from its x & y components?

Answer 19

1. Sketch the vector on a set of x & y axes in the correct quadrant, according to the signs of the components
2. Draw a right triangle with the resultant as the hypotenuse & the other two sides parallel to the x & y axes
3. In the right triangle, decide which of the unknown angles you want to determine
4. Use inverse tangent function to find the angle
5. Interpert the angle & specify whether it is the angle below the horizontal or the angle west of south or the angle clockwise form the negative y-axes, etc
6. Use the Pythagorean theorem to fin the magnitude of the vector

Question 20

When adding vectors can add the each components ___________ to find the sum of each components

Answer 20

separately (can add the x compnetns together to get the x component sum & can do the same for y component)

Question 21

What are the steps used for adding vectors using components?

Answer 21

1. Find the x & y axis components of each vector to be added
2. Add the x components (with their sign) of the vectors to find the x- component of the sum (if the sign are wrong then your answer will be wrong)
3. Add the y component (with their sign) of the vector to find the y component of the sign
4. If needed use the x & y componts of the sum to find the magnitude & direction of the sum