3. An object is stuck at the origin. To get the object free, two forces are applied to the object. The first force, F, extends from the origin to position (-8,2). The second force, F2, acts on the object with a magnitude of 8 Newtons in the direction of 30°. You may assume units of distance are in meters. Represent the two force vectors, F, and F2, in component form. Leave all answers in exact а. form. b. Draw a sketch of the two force vectors on the graph to the right. 5- c. If these two forces together free the object, in what direction and with what magnitude would the object travel? Round to one decimal place as needed. -5 -5

3. An object is stuck at the origin. To get the object free, two forces are applied to the object. The first force, F, extends from the origin to position (-8,2). The second force, F2, acts on the object with a magnitude of 8 Newtons in the direction of 30°. You may assume units of distance are in meters. Represent the two force vectors, F, and F2, in component form. Leave all answers in exact а. form. b. Draw a sketch of the two force vectors on the graph to the right. 5- c. If these two forces together free the object, in what direction and with what magnitude would the object travel? Round to one decimal place as needed. -5 -5

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Figure

Q: The vector product of vectors A and B has magnitude 20.0 m² and is in the +z-direction. Vector A has…

A: According to the given data provided in the question A=8m and it is in -x direction R→=A→xB→=20m2…

Q: A drone flies the following displacement vectors in the sequence indicated. It starts flying West…

Q: Ax= 3.80 m, Ay= -1.30 m Ax= 3.70 m, Ay= 1.30 m Ax= -4.20 m, Ay= 1.20 m Ax= -3.60 m , Ay= -1.80 m…

A: The problem is asking us to find the angle that the vector A makes with the +x-axis. This angle is…

Q: The components of all the vectors are INTEGERS. The following figure represents vectors of various…

A: A vector is represented in the figure whose components are integers

Q: Vector A has a magnitude of 3.0 units and points in the negative a direction. Vector B has a…

Q: Problem 3: Find unit vector of a force. Find the unit vector corresponding to a 100 N force at 60°…

Q: Vector A⃗ points in the negative y direction and has a magnitude of 5 units. Vector B⃗ has twice…

A: The expression for the vector representation of (A+B):

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: 6. Position vectors of two particles, A and B are given: A = 31 + 4j + 5k meters B = -4i + 2j - 7k…

A: Given data A=3i+4j+5kB=-4i+2j-7k Given that the third vector C is the cross product of vectors A and…

Q: Consider the two vectors, A = -4.42 i +-2.02 j and B = -1.95 i +-5.54 j. Part (a) What is the…

Q: Express your answer with the appropriate units. ON B=Value Units Submit Request Answer Part B What…

A: Part A From the rule of vector product, i^×j^=k^-i^×-j^=k^ Since, the resultant points in positive z…

Q: Two vectors in Cartesian coordinates have components A=(1,2,3) and B=(4,2,5). What is the length of…

A: Cartesian coordinates of A = (1,2,3) Cartesian coordinates of B = (4,2,5)

Q: Review | Constants Part A Given two vectors A = 4.00 i 3.20 j and B = 5.00 i - 2.40 j , find the…

A: Given:Vector A = 4 i + 3.2 jVector B = 5 i – 2.4 j

Q: 4. When two vectors, A and B, are equal, they must have equal magnitudes, |A| = |B|, or A = B.…

Q: You are given a vector A = 190i and an unknown vector B that is perpendicular to A. The…

Q: Part C Constants Let vectors A (2,1,-4), B Calculate the following (-3,0,1), and C- (-1,-1,2) 2B-3C-…

A: Part C Vector notation for vectors B and C are,

Q: Three force vectors are added together. One has a magnitude of 9 N, the second one a magnitude of…

A: Given, The three forces are F1 = 9 N F2 = 18 N F1 = 15 N The maximum value of the net force can be…

Q: Right handed coordinate system: In a three dimensional coordinate system we can always choose +x and…

Q: The figure shows two vectors, A→ and B→, whose magnitudes are AA = 6.7 and BB = 5.1. Determine C→ if…

Q: Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB|…

Q: A vector force of F1 of 3N is due West , and a vector force of F2 of 8 N is directed in 40 degrees…

Question

3.
An object is stuck at the origin. To get the object free, two forces are applied to the object. The first force,
F, extends from the origin to position (-8,2). The second force, F2, acts on the object with a magnitude of 8
Newtons in the direction of 30°. You may assume units of distance are in meters.
Represent the two force vectors, F and F2, in component form. Leave all answers in exact
а.
form.
b.
Draw a sketch of the two force vectors on the graph to the
right.
-5-
с.
If these two forces together free the object, in what direction
and with what magnitude would the object travel? Round to one decimal
-5
place as needed.
-5

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗ F. In ordered pair notation, write down the components of vector D G.What is true about B⃗ and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.
Pre calculus Vectors
How would I figure out the adding and subtracting parallel vectors? how would I figure out the adding and subtracting anti-parallel vectors?
In this lab you will be given some values for a vector and will need to determine the missing values. Then, you will test your answers using one of the force tables. All angles need to be in the range from 0 to 360°, where 0° points along the positive x-axis, 90° points along the positive y-axis, 180° points along the negative x-axis, and 270° points along the negative y-axis. For the vector -A, the negative of a vector is antiparallel to the vector itself. Ay Set 1a 1b. 1c 1d 2a 2b 2c 2d Sa 3a 3b 30 3c 3d 4a 4b 4c 4d Ax 30 37 -45 -50 85 100 -54 -90 32 -42 -25 48 -95 98 -74 83 Magnitude of A 43.86 45.97 200 124 121 139 ✔ X Angle of A 46.85 311.38 347⁰ 84⁰ 157⁰ 212° 212 25° 2 283⁰ cae AVV 139⁰ 262⁰ EVE 265⁰ 70° 324⁰ 103⁰ Angle of -A ✓ 。 226.85 ✔° 131.38 0 0 ✔ ✔ 0 0 a o B 2 P 0 O 0 0 0 Ⓒ O 0 0 rinn: therefore there are two possibilities. In these
Let A= (3.0 m, 200south of east), B = (2.0 m, north), and C= (5.0 m, 700south of west). Draw and label A, B, and C with their tails at the origin. Use a coordinate system with the x-axis to the east. b. Write A, B, and C in component form, using unit vectors. c. Find the magnitude and the direction of D = A + B+ C.
Bruce begins 7 kilometers to the north of town and rides his bike along a straight trail which leads to a park 3km west of town. It takes him 20 minutes to cover this distance. Write a vector in component form that describes his ride while also finding the magnitude and direction of this vector. Also, find the component of Bruce's motion which is in the direction of SW using a unit vector that uses both forms of the dot product (algebraic and geometric), then write parametric equations expressing his motion with the town being represented by the origin and t=0 being his starting point. Using these equations, what is his position after 5 minutes? Then eliminate the parameter to get a rectangular equation for this linear path and verify algabraically amd graphically that this equation represents the line.
The diagram shows a vector A. P is the horizontal component of A, at an angle to A. d (c.) Which graph best shows the variation with of the magnitude of P? (a.) d Ꮎ 0 Á P 0 (rad) 0 (rad) O Graphs (a.) & (d.) only. O Graph (d.) only. O Graphs (a.) & (b.) only. O Graphs (a.), (b.) & (c.) only. O Graphs (a.) & (c.) only. O None of them. O Graph (c.) only. O Graph (b.) only. O Graph (a.) only. O All of them. EIN 2 16 N π 2 (b.) d (d.) d 0 (rad) 0 (rad) 16 IN π |-2
Two vectors are defined in component form below. Use them to answer the following questions. Note: ,ŷ, and 2 are Cartesian unit vectors. H = -5ŷ + 42 G = -5x + 22 a) Determine A if A = H.G. b) If] = G., then which of the following is true? (Choose all that are true.) Briefly explain your reasoning. i. ii. A = -J A = J c) Determine C in component form if C = H x G. d) If K = G x A, then which of the following is true? (Choose all that are true.) Briefly explain your reasoning. i. C = -K ii. iii. iv. C = R K C. K = 0 |× K = 0
12.0 B = 5.0 F = 20.0 86400 365) %3D 24 (6)60) = Esc 60° A = 10.0 30 30° 53° D = 20.0 37° Assuming the +x-axis is horizontal to the right for the vectors in the figure, find the following scalar products. a. Ā . B- b. Č - (- 3) - c. Dx F- a. (5 x F) - ( x Ã) -
A displacement vector points in a direction of θ = 23° left of the positive y-axis. The magnitude of this vector is D = 155 m. Refer to the figure. Enter an expression for the x-component vector, Dx, in terms of D, θ, and the unit vectors i and j.
1. Let v = -51 + 53 be a vector in R². (a) Find v. (b) Find the angle, 0, in degrees, that v makes with the positive x-axis. (Answer in radians between 0 and 27.) (c) Find a unit vector that points in the same direction as v. Answer in component form.
C please