Module 2 Nature Of Quantities

Question 1

What are scalars and vector quantities?

Give 5 examples of each.

Answer 1

Quantities that are scalar only have a magnitude, whereas vector quantities have both a magnitude and a direction.

Scalar: Pressure, time, distance, speed, amount of substance
Vector: Force, Displacement, Acceleration, Momentum, Velocity

Question 2

How can you add or subtract vectors?

Give brief explanations of the procedures.

Answer 2

You can use scale diagrams (Tip to tail)

In the tip to tail method, you put each vector at tip of the previous one and to find the resultant vector you match the tail of the initial vector with the tip of the final vector. ( For addition the the direction of specific vector is as stated but while subtracting the direction of a specific vector is reversed)

Question 3

State the Trigonometric Equations you need to know for vectors and state their formulas.

Answer 3

You need to know SOH, CAH ,TOA, (self explanatory formulae)

SINE RULE & COSINE RULE.

Sine rule: a/sin a= b/sin b= c/sin c
Cosine rule: a^2= b^2+c^2 -(2bc*cosA)

Question 4

How do you resolve a vector to it’s horizontal component?

Answer 4

Horizontal component= Vector*cos Angle of vector from horizontal
Fx= F cosTheta

Question 5

How do you resolve a vector to it’s vertical component?

Answer 5

Vertical component= Vectorsin Angle of vector from horizontal
Fy= F sinTheta

Question 6

What would the product of a scalar and a vector be?

Answer 6

A vector.