HDE Section 1: Vectors Flashcards
What are the 7 base units?
m, kg, s, A, K, mol, cd
What are the 8 standard prefixes?
Tera, giga, mega, kilo, milli, micro, nano, pico
Why do we have base units?
These provide a source to derive all other units and ensure that research can be easily compared.
Why are Newtons equal to kg m s–2?
Force = mass x acceleration N = kg x ms^-2
Why are Joules equal to Nm?
Work done = Force x distance
J = N x m
______ quantities have a magnitude only.
Scalar quantities have a magnitude only.
______ quantities have a magnitude and a direction.
Vector quantities have a magnitude and a direction.
Scalar or vector?
Distance Mass Velocity Energy Weight Acceleration Temperature Displacement Force Speed
S S V S V V S V V S
A 20N northwards force and a 5.0N eastwards force act on a mass. What is the magnitude of the resultant force?
20.6N
A 5.0N northwards force and a 10N eastwards force act on a mass. What is the magnitude of the resultant force?
11.2N
A 2.0N northwards force and a 8.0N westwards force act on a mass. What is the magnitude of the resultant force?
8.2N
A 15N southwards force and a 15N eastwards force act on a mass. What is the magnitude of the resultant force?
21.2N
A 2.5N southwards force and a 4.0N westwards force act on a mass. What is the magnitude of the resultant force?
4.7N
Wilfred walks 30m East and 40km West.
Calculate her displacement and distance travelled.
A) 40,000.01125m
B) 40,030m
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.
59 m
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.
502 + 322 = x^2
2500 + 1024 = x^2
(2500 + 1024)^0.5 = x
x = 59m
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.
F F F T F F
A 5.0 N northwards force is combined with 10 N eastwards force. What is the magnitude of the resultant force?
12 N
What is the difference between a scalar and a vector?
Scalars only have a magnitude. Vectors have a magnitude and direction.
What is an example of a scalar?
Distance, speed, time.
What is an example of a vector?
Displacement, acceleration, velocity.
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?
Average speed = 0.72 ms-1
Average velocity = 0.61 ms-1
What is Resolving Vectors
This is the opposite of combining vectors: splitting one vector into two components
Find the vertical and horizontal components
30N at 10 degrees to the horizontal
Fy = 5.2 N & Fx = 30 N
Find the vertical and horizontal components
18N at 5 degrees to the horizontal
Fy = 1.6 N & Fx = 18 N
Find the vertical and horizontal components
75N at 30 degrees to the vertical
Fy = 65 N & Fx = 38 N
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:
20 N
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
4 km North followed by 3 km West
