What is the resultant displacement of the two vectors below? vector 1: 5.0 cm, w vector 2: 3.0 cm, s
a. 4.0 cm, 59 degrees west of the south axis
b. 9.7 cm, 31 degrees west of the south axis
c. 8.2 cm, 60 degrees south of the west axis
d. 5.8 cm, 31 degrees south of the west axis

D. 5.8 cm, 31 degrees South of the West axis

Explanation:

We have two vectors:

Vector 1: (5,0) W

Vector 2: (3,0) S

We need to find the magnitude and direction of the resultant vector:

For the magnitude we will use the formula to calculate the distance between two points:

(1)

(2)

(3)

(4) This is the magnitude of the vector

For the direction, we will use the following formula. Taking into account that if we draw a vector diagram with the resultant vector, we will have a right triangle (whose hypotenuse was already calculated) and we can use trigonometry in this case:

(5)

(6)

(7)

(8)

Hence, the direction of this resultant vector is South of the West axis.

answer: the rock sample is a sedimentary rock.

explanation:

it is given that:

mass of rock sample, m = 2.7 g

volume of rock sample,

so, density of rock sample will be

since, the density of rock sample is . hence, the rock sample is a sedimentary rock, whose densities varies between .

a and c

c is 100% but i am confused in a