Question

vectors
an asterisk (*) means that it deals with vectors, but you are not equipped to answer it until later in the year. so skip those for now.
2024
*1. which quantity is a vector?
(1) electric field
(2) electric potential difference
(3) electric charge
(4) electric power

1. what is the magnitude of the east - ward component of the velocity of an airplane flying at 612 kilometers per hour in a direction 40.0° north of east?

(1) 393 km/h
(3) 799 km/h
(2) 469 km/h
(4) 952 km/h
2023
*1. which pair of quantities are both scalar quantities?
(1) speed and mass
(2) speed and momentum
(3) momentum and displacement
(4) mass and displacement
10.

Explanation:

Step1: Recall vector - scalar definitions

Vectors have magnitude and direction, scalars have only magnitude.

Step2: Analyze question 1

Electric field is a vector as it has both magnitude and direction. Electric potential difference, charge and power are scalars. So the answer to question 1 is (1) electric field.

Step3: Analyze question 2

We use the formula for the x - component of a vector $A_x = A\cos\theta$, where $A = 612$ km/h and $\theta=40^{\circ}$. So $A_x=612\cos(40^{\circ})\approx469$ km/h.

Step4: Analyze question 3

Speed and mass are scalars. Momentum and displacement are vectors. So the answer to question 3 is (1) speed and mass.

Answer:

1. (1) electric field
2. (2) 469 km/h
3. (1) speed and mass