HDE Section 1: Vectors Flashcards

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1
Q

What are the 7 base units?

A

m, kg, s, A, K, mol, cd

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2
Q

What are the 8 standard prefixes?

A

Tera, giga, mega, kilo, milli, micro, nano, pico

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3
Q

Why do we have base units?

A

These provide a source to derive all other units and ensure that research can be easily compared.

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4
Q

Why are Newtons equal to kg m s–2?

A
Force = mass x acceleration
N = kg x ms^-2
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5
Q

Why are Joules equal to Nm?

A

Work done = Force x distance

J = N x m

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6
Q

______ quantities have a magnitude only.

A

Scalar quantities have a magnitude only.

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7
Q

______ quantities have a magnitude and a direction.

A

Vector quantities have a magnitude and a direction.

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8
Q

Scalar or vector?

Distance
Mass
Velocity
Energy
Weight
Acceleration
Temperature
Displacement
Force
Speed
A
S
S
V
S
V
V
S
V
V
S
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9
Q

A 20N northwards force and a 5.0N eastwards force act on a mass. What is the magnitude of the resultant force?

A

20.6N

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10
Q

A 5.0N northwards force and a 10N eastwards force act on a mass. What is the magnitude of the resultant force?

A

11.2N

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11
Q

A 2.0N northwards force and a 8.0N westwards force act on a mass. What is the magnitude of the resultant force?

A

8.2N

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12
Q

A 15N southwards force and a 15N eastwards force act on a mass. What is the magnitude of the resultant force?

A

21.2N

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13
Q

A 2.5N southwards force and a 4.0N westwards force act on a mass. What is the magnitude of the resultant force?

A

4.7N

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14
Q

Wilfred walks 30m East and 40km West.

Calculate her displacement and distance travelled.

A

A) 40,000.01125m

B) 40,030m

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15
Q

Josh Cummings walks 50m west before heading 32m north. Draw a scale diagram for this movement and calculate the displacement at the end of the journey.

A

59 m

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16
Q

Josh Hunter walks 50m west before heading 32m north. Draw a scale diagram for this movement and calculate the displacement at the end of the journey.

A

502 + 322 = x^2
2500 + 1024 = x^2
(2500 + 1024)^0.5 = x
x = 59m

17
Q

True or False

A) Displacement is a scalar.
B) Vectors have magnitude and size.
C) Using pythagoras allows you to calculate the magnitude and direction of a resultant force.
D) Displacement = Linear distance between initial and final position.
E) Watts (W) are a base unit.
F) To convert from kilo to standard units, you should divide by 1000.

A
F
F
F
T
F
F
18
Q

A 5.0 N northwards force is combined with 10 N eastwards force. What is the magnitude of the resultant force?

A

12 N

19
Q

What is the difference between a scalar and a vector?

A

Scalars only have a magnitude. Vectors have a magnitude and direction.

20
Q

What is an example of a scalar?

A

Distance, speed, time.

21
Q

What is an example of a vector?

A

Displacement, acceleration, velocity.

22
Q

Tyler walks 12 m west and then 60 m south. It takes the student 100 s to complete this walk. What is the average speed and average velocity of the student?

A

Average speed = 0.72 ms-1

Average velocity = 0.61 ms-1

23
Q

What is Resolving Vectors

A

This is the opposite of combining vectors: splitting one vector into two components

24
Q

Find the vertical and horizontal components

30N at 10 degrees to the horizontal

A

Fy = 5.2 N & Fx = 30 N

25
Q

Find the vertical and horizontal components

18N at 5 degrees to the horizontal

A

Fy = 1.6 N & Fx = 18 N

26
Q

Find the vertical and horizontal components

75N at 30 degrees to the vertical

A

Fy = 65 N & Fx = 38 N

27
Q

Two forces acting at a point: 16N East and 12N south

The vector diagram above shows two forces acting at a point. The magnitude of the resultant force is:

A

20 N

28
Q

Josh M walks for 5 km along a direction 53° West of North. Which of the following journeys would result in the same displacement?

5 km along a direction East of North
4 km North followed by 3 km West
3 km North followed by 2 km West
3 km North followed by 4 km West

A

4 km North followed by 3 km West