Log In Registration
Ask an expert
Physics
16.08.2020 14:55
173
196
9
Solved by an expert

A goal should NOT be:

A goal should NOT be:
A goal should NOT be:
Show Answers
naenaekennedybe
naenaekennedybe
4,4(28 marks)
Unspecific

A goal should NOT be unspecific
alyssamiller401
alyssamiller401
4,9(44 marks)

The magnitude of the resultant vectors is 64.69 cm

The  direction of the vector of the vector is 332.4 ⁰ north west

The given parameters;

displacement \ at \ 90^0 = 83 \ cm\\\\displacement \ at \ 147^0 = 59 \ cm\\\\displacement \ at \ 221^0 = 69 \ cm\\\\displacement \ at \ 283^0 = 45 \ cm\\\\displacement \ at \ 27^0 = 69 \ cm

The resultant displacement is calculated by resolving each vector into x and y components.

The y-component of the vectors assuming all vectors are measured counter-clockwise from x-axis;

R_y = (83\times sin(90)) + (59\times sin(147)) + (69\times sin(221)) + (45\times sin(283))\\ \ \ \ . \ \ \ \ \ \ + (69\times sin(27)) \\\\R_y = (83) + (32.13) + (-45.27) + (-43.85) + (31.33)\\\\R_y = (57.34) j

The x-component of the vectors

R_x = (83\times cos(90)) + (59\times cos(147)) + (69\times cos(221)) + (45\times cos(283))\\ \ \ \ . \ \ \ \ \ \ + (69\times cos(27)) \\\\R_x = (0) + (-49.48) + (-52.07) + (10.12) + (61.48)\\\\R_x = (-29.95) i

The magnitude of the resultant vectors is calculated as;

|R| = \sqrt{R_y^2 + R_x^2} \\\\|R| = \sqrt{(57.34)^2 + (-29.95)^2} \\\\|R| = 64.69 \ cm

The direction of the vector;

\theta = tan^{-1} (\frac{R_y}{R_x} )\\\\\theta = tan^{-1} (\frac{57.34}{-29.95} )\\\\\theta = tan^{-1} (-1.915) = -62.4^0 = 332.4 ^0 \ north \ west

Learn more here:

Popular Questions about the subject: Physics

Where can you observe environmental changes that are forcing...
Where can you observe environmental changes that are forcing adaptation?...
Physics
10.01.2023 03:37
Listed following are a series of statements that each make a...
Listed following are a series of statements that each make a claim. classify these as either testable by accepted methods of science or non-testable by accepted methods of science....
Physics
17.06.2021 17:28
Perception distance + reaction distance + braking distance =...
Perception distance + reaction distance + braking distance = a.peripheral vision. b.total stopping distance. c.reaction time. d.the distance from point a to point b....
Physics
04.05.2021 09:32
An iron anchor of density 7890.00 kg/m3 appears 299 n lighter...
An iron anchor of density 7890.00 kg/m3 appears 299 n lighter in water than in air. (a) what is the volume of the anchor? (b) how much does it weigh in air?...
Physics
25.07.2020 21:04
Determine an equation for shear-stress distribution over the...
Determine an equation for shear-stress distribution over the cross section of a rod that has a radius c. by what factor is the maximum shear stress greater than the average shear...
Physics
28.03.2020 08:12
Which of the following statements is true? a. prior to the kepler...
Which of the following statements is true? a. prior to the kepler mission, most of the extrasolar planets that had been discovered had jupiter-like masses but orbited very close to...
Physics
12.10.2022 05:17
The overhang beam is subjected to the uniform distributed load...
The overhang beam is subjected to the uniform distributed load having an intensity of w = 50 kn/m. determine the maximum shear stress and bending normal stress in the beam....
Physics
08.12.2022 12:49
Water is flowing through a pipe that slowly gets smaller as it...
Water is flowing through a pipe that slowly gets smaller as it rises to the bathroom on your second floor (10 m high). the pipe coming into your house is 3 cm in diameter, the pressure...
Physics
12.05.2021 08:48
What is the smallest radius of an unbanked (flat) track around...
What is the smallest radius of an unbanked (flat) track around which a bicyclist can travel if her speed is 29.0 km/h and the coefficient of static friction between tires and track...
Physics
01.02.2020 05:41
The only force acting on a 2.9 kg canister that is moving in...
The only force acting on a 2.9 kg canister that is moving in an xy plane has a magnitude of 7.5 n. the canister initially has a velocity of 3.9 m/s in the positive x direction, and...
Physics
10.08.2022 19:08

New questions by subject

Which of these should always be included in a personal health...
Which of these should always be included in a personal health plan for fitness. a. weight loss b. pain c. goals d. measurements...
Health
31.01.2023 15:53
4.the pontic mountains and the taurus mountains run along the...
4.the pontic mountains and the taurus mountains run along the northern and southern edges of which country? turkey syria lebanon jordan...
History
09.01.2023 20:01
What do you think is the difference between cases handled by...
What do you think is the difference between cases handled by lower courts and those handled by higher courts?...
History
03.01.2022 03:52
How many kilojoules of heat are released when 32.0 g of naoh...
How many kilojoules of heat are released when 32.0 g of naoh are dissolved in water? (the molar heat of solution of naoh is -445.1 kj/mol.) -618 kj -356 kj -556 ka -142 kj...
Chemistry
13.06.2022 05:12
An economy that allows free interaction ?...
An economy that allows free interaction ?...
English
16.04.2023 03:36
Carla is looking forward to playing the best softball team in...
Carla is looking forward to playing the best softball team in the league. which term describes carla’s outlook?...
Health
28.02.2023 02:33
What is the vertex and the equation of the axis of symmetry of...
What is the vertex and the equation of the axis of symmetry of the graph of y=x^2-6x-7...
Mathematics
03.02.2022 17:55
The 100 kg reel has a radius of gyration about its center of...
The 100 kg reel has a radius of gyration about its center of mass gofkg= 200 mm. if the cable b is subjected to a force ofp= 300 n,determine the time required for the reel to obtain...
Physics
02.12.2020 17:46
Stormer company reports the following amounts on its statement...
Stormer company reports the following amounts on its statement of cash flow: net cash provided by operating activities was $36,000; net cash used in investing activities was $13,200...
Business
14.08.2021 02:03
Stone inc. is evaluating a project with an initial cost of $9,500....
Stone inc. is evaluating a project with an initial cost of $9,500. cash inflows are expected to be $1,500, $1,500, and $10,000 in the three years over which the project will produce...
Business
07.07.2021 17:08
Find out answers to questions
from an AI-bot
Get full access
Answers
Themes
Family and Home Sport Other Dating, Love, Relationships Health and Medicine Science and Technology Cities and Countries Travel and tourism Food and Cooking Philosophy Style and Beauty Animals and plants Business and Finance Construction and repair Leisure and Entertainment Legal consultation Goods and services Society and Politics Photography and Videography Auto and Moto Art and Culture Computers and Internet Horoscopes, Magic, Divination Work and Career Business Law Spanish SAT Engineering Social Studies Computers and Technology World Languages Mathematics French Biology Arts History Geography Health Chemistry Medicine Physics English Advanced Placement (AP) German
#
#
#
#
# #

We expand our knowledge with many expert answers

Answers