Four displacement vectors, A, B, C, and D, are shown in the diagram below. Their magnitudes...

Four displacement vectors, A, B, C, and D, are shown in the diagram below. Their magnitudes are: A = 16.2 m, B = 11.0 m, C = 12.0 m, and D = 24.0 m

What is the magnitude, in meters, and direction, in degrees, of the resultant vector sum of A, B, C, and D?

Give the direction as an angle measured counterclockwise from the +x direction.

Solutions

Expert Solution

Solution :- As the figure is missing in the given problem, therefore the following figure can be taken for the better understanding of the question with reference to the vectors :

Thus, the magnitude of the resultant vector sum of A, B, C and D is 12.994 metres which in round figure is 13 metres.

Also, direction or the directional angle is 42.153 degrees.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

The displacement vectors A and B shown in the figure below both have magnitudes of 2.50...

The displacement vectors A and B shown in the figure below both have magnitudes of 2.50 m. The direction of vector A is θ = 35.5°. (a) Find A + B graphically. magnitude m direction ° counterclockwise from the +x axis (b) Find A − B graphically. magnitude m direction ° counterclockwise from the +x axis (c) Find B − A graphically. magnitude m direction ° counterclockwise from the +x axis (d) Find A − 2B graphically. magnitude m direction...

The three displacement vectors in the drawing have magnitudes of A = 4.95 m, B =...

The three displacement vectors in the drawing have magnitudes of A = 4.95 m, B = 5.93 m, and C = 3.59 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis. A=2nd quadrant 20 degrees B= 1st quadrant 60 degrees C=on Y axis at 270 degrees

A frog makes four jumps in a row. The displacement vectors for the four jumps are:...

A frog makes four jumps in a row. The displacement vectors for the four jumps are: (1) 30.0 cm, due west; (2) 24.0 cm, 42.0° south of west; (3) 28.0 cm, 48.0° south of east; and (4) 36.0 cm, 38.0° north of east. What is the magnitude, in centimeters, and what is the direction of the frog's displacement from its starting point? Express the direction as an angle measured counterclockwise from due east. magnitude: cm direction: degrees (counter clockwise from...

In the diagram, which point is at the lowest potential? (a) A (b) B (c) C (d) D

In the diagram, which point is at the lowest potential?(a) A(b) B(c) C(d) D

The diagram below shows two vectors, A and B, and their angles relative to the coordinate...

The diagram below shows two vectors, A and B, and their angles relative to the coordinate axes as indicated. DATA: α= 47.5o β= 60.8o |A| = 5.7 cm. The vector A - B is parallel to the -x axis (points due West). Calculate the y-component of vector B. find y-component of B find x-component of (A-B) find magnitude of A+B

Suppose that ac + bd = 0. Show that vectors [a, b] and [c, d] are...

Suppose that ac + bd = 0. Show that vectors [a, b] and [c, d] are perpendicular. The number ac + bd is called the dot product of the vectors [a, b] and [c, d].

1-) Of the compounds shown below, which is ionic? A) KC6H6O B) C4H9NH2 C) H2CO3 D)...

1-) Of the compounds shown below, which is ionic? A) KC6H6O B) C4H9NH2 C) H2CO3 D) SO3 E) HF 2-) Choose the set below that only has covalently bonded compounds. A) NH4Br, N2H4, HBr B) I2, H2S, NaI C) Al, O3, As4 D) C6H6, H2, CsCl A) BCl3, SiF4, NCl3 3-) Sodium chloride has a crystal structure where the chlorines are situated at each corner and each face. How many zinc ions are in the unit cell? A) 1 B)...

Perkins Corporation is considering several investment proposals, as shown below: Investment Proposal A B C D...

Perkins Corporation is considering several investment proposals, as shown below: Investment Proposal A B C D Investment required $ 120,000 $ 150,000 $ 90,000 $ 112,500 Present value of future net cash flows $ 144,000 $ 225,000 $ 126,000 $ 240,000 If the project profitability index is used, the ranking of the projects from most to least profitable would be: Multiple Choice D, B, C, A B, D, C, A B, D, A, C A, C, B, D

A) Genes A, B, and C are linked as shown below. A and B are 10...

A) Genes A, B, and C are linked as shown below. A and B are 10 m.u. apart, while B and C are 20 m.u. apart. All dominant alleles are on one homologue and all recessive alleles are on the other homologue. Which genotype and probability is correct for no crossing over? B) Genes A, B, and C are linked as shown below. A and B are 10 m.u. apart, while B and C are 20 m.u. apart. All dominant...

Three vectors A, B and C are related via A+B=C. Which of the following diagrams illustrates these vectors?

Subjects