SCALARS AND VECTORS: The figure below shows three forces F1, F2, and F3 acting on a point O. Calculate the resultant force. F2 = 7 N |120° F1 = 8 N 100° F3 = 4 N 2.805 N O 3.775 N O 4.356 N O 5.136 N
Q: In the diagram, q1 = -4.60 x 10-6 C, = +3.75 x 10-6 C, and q3 = +8.30 x 10-5 C. 92 Find the…
A: q1 = - 4.60×10-6 C q2 = + 3.75 × 10-6 C q3 = + 8.30 × 10-5 C
Q: Determine the magnitude of the resultant force and its direction measured counterclockwise from the…
A: Given that:- F1=65N F2=75N F3=55N
Q: A particle with a weight of six pounds experiences forces in 3 different directions aside from its…
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Q: force equal to zero. The forces are measured in units of newtons (N). F₂= 80.0 N 75.0° y Problems 29…
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Q: Graphically determine the combined effect of force vectors A, B, C, and D. scale 1 inch: 100 lb…
A: force vector A = 200 lb along north force vector B = 226 lb along 15 degree north of west force…
Q: If vector A = 6i + 9j^ and vector B = 2 i^ + 5 j°, then 7 A + 2 B = Select one: O a. 46 i + 53 j Ob.…
A: 1. Given data: Vectors: A=6i^+9j^ and B=2i^+5j^ 2. Given data: Mass of crate, m=14.4 kg First…
Q: q1 = +2.60 x 10-6 C, q2 = +3.75 x 10-6 C, and 93 = +1.30 x 10-6 C. Find the x-component of the net…
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Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = -1Ni + -7.1Nj…
A: Given: The force F1 is -1 Ni^+-7.1 Nj^+-3.6 Nk^. The force F2 is 2.1 Ni^+6.6 Nj^+-3.1 Nk^.
Q: In the diagram, q, = -4.60 x 10-6 C, q2 = +3.75 x 10-6 C, and q3 = +8.30 x 10-5 C. %3D Find the…
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Q: There are two forces on the 1.82 kg box in the overhead view of the figure but only one is shown.…
A: There are two forces on the 1.82 kg box in the overhead view of the figure but only one is shown.…
Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = -6.7Ni +…
A: The angle (θ) between the two vectors F1 and F2 is given by,
Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = 6Ni + 7.3Nj…
A: The angle between two forces is given by F→1·F→2=F1F2cosθθ=cos-1F→1·F→2F1F2 The dot product between…
Q: An antelope is being pulled by two forces whose vector-component expressions are: F1- 0.9NI + -3.1Nj…
A: The given vectors, F→1=0.9 Ni^+3.1 Nj^+9.9 Nk^F→2=6.7 Ni^+8.6 Nj^+9.4 Nk^ The angle between the…
Q: Two forces of magnitude 70 newtons (N) and 20 N act on an object at angles of 30° and -45° with the…
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Q: The work done by F in moving a particle form B to A
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Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = -3.3Ni +…
A: The angle between two vectors θ=cos-1F→1·F→2F→1F→2=cos-1-3.3 Ni^+4.5 Nj^-2.7 Nk^·-1 Ni^+0.2 Nj^+3.4…
Q: Using the cartesian coordinate system, Which of the following is the correct NET FORCE on the y-axis…
A: For equilibrium net force acting on the system must be zero and horizontal as well as vertical…
Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = 0.7Ni + 0.5Nj…
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Q: Two forces F = -5.30i + 7.70j and F, = 9.20i + 7.40j are acting on an object with a mass of m = 7.90…
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Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = -9Ni + 0.4Nj…
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Q: QI: The forces Fl, F2, and F3, all of which act on point A of the structure below. Determine the x…
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Q: In the diagram, q1 = +8.60 x 10-6 C, %3D 92 = +5.10 x 10-6 C, and q3 = -3.30 x 10-6 C. Find the…
A: Given value--- q1 = 8.6 × 10-6 C. q2 = 5.1 × 10-6 C. q3 = - 3.30 × 10-6 C. We have to find--- net…
Q: QI : force is directed vertically upward and amagnitude of 100 Determin the magnitude and direchion…
A: The vector addition is performed here. The resultant force is R=F+F1+F2+F4F=R-F1-F2-F4=100 Nj--400…
Q: F3 65° y 35° F2 F1
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Q: A sledge is being pulled by two horses on a flat terrain. The netforce on the sledge can be…
A: Given data: Force F = (-2980.0 i + 8200.0 j) N Here, i denotes east direction and j denotes north…
Q: Two ropes hold a crate with weight (w) of 125 N as shown below. Find the tensions T1 and T2 in the…
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Q: V If force P is 100 N and angle is 30 degrees, the magnitude of force V is O 57.7 N 88.9 N O 86.6 N…
A: When any vector Aquantity makes an angleθ with the horizontal, the vectors can be resolved in two…
Q: F2–23. Determine the magnitude of the resultant force at A. F = 840 N 6 m Fc = 420 N 3 m 3 m 2 m
A: The position vectors of the three points A, B and C are A→=0 i^+0 j^+6 k^B→=3 i^-2 j^+0 k^C→=2 i^+3…
Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = -2.2Ni +…
A: The given vectors and their magnitude are as follows,
Q: The vector -5.2A has a magnitude of 48 m and points in the positive x direction.
A: We have to find out the x component of vector A and its magnitude.
Q: Express the force F as a vector in terms of the unit vectors i, j, and k. Determine the angles 0x,…
A: Write the position vectors of points A and B. Determine the unit vector along AB.
Q: In the diagram, q1 = +4.60 x 10-6 C, 92 = +3.75 x 10-6 C, and q3 = -8.30 x 10-5 C. %D Find the…
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Q: SCALARS AND VECTORS: The figure below shows three forces F1, F2, and F3 acting on a point O.…
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Q: In applying the equation W = (F cos(?))d to the upward force, which of the following expressions is…
A: Given data The equation for work done is given as W=Fcosθd. The force force F is applied in an…
Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = 8.8Ni +…
A: Given data: F1 = 8.8Ni + -9.2Nj + -6.2Nk F2 = 0.1Ni + -8.4Nj + 4.8Nk Required: The angle between…
Q: Find the magnitude and direction of the resultant force for the system of forces shown in the…
A: Given : F1=10NF2=10NF3=25NF4=15NF5=30NF6=10N and…
Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = 2.2Ni + 1.5Nj…
A: To solve the question, we will use the dot product of vectors. Given:…
Q: Three force vectors are added together. One has a magnitude of 9 N, the second one a magnitude of…
A: Given: Magnitude of first force vector = 9 N Magnitude of second force vector = 18 N Magnitude of…
Q: For the forces shown in figure, find * just (EFx) components F=2 kN F=4 kN 0=30° 0-60° EFx=2 kN O…
A: Force-diagram: The component of the force of the object is given below.
Q: 800 N 600 N What is the magnitude of the resultant force measured counterclockwise from the positive…
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Q: Two balls are connected by a spring: m1 , X 1 k, l m2 , X2 Calculate the force (positive, in…
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Q: 2 and F3 is equivalent to a single fo
A: Equivalent force System An equivalent system for a given system of coplanar forces is a combination…
Q: Compute the resultant force and its direction for the two forces shown in Fig. Q1. Z |F₁| = 300N X…
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Q: #44
A: Given information: The resultant of all the forces (Fr) = 4i N The magnitude of the force (F1) = -5j…
Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = -3.3Ni +…
A: Given forces F1 and F2, the angle between them, θ, is given as, cosθ=u·vuv
Q: Force F1 = 10 N @ 30 and force F2 = 8N @ 270 . Calculate the magnitude of F1 + F2 .
A: |F1| = 10 N @30degreeF1→ = 10 [cos30o i + sin30o j]F1→ = 8.66i + 5 j NF2 →= 8Cos270oi + 8sin270oj F2…
Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = -2Ni + 4.8Nj…
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Q: antelope is being pulled by two forces whose vector-component expressions are: F1 = 3.6Ni + -8.9Nj…
A: If multiplication of two vector is a scalar quantity then it called scalar product
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- Three force vectors are added together. One has a magnitude of 9 N, the second one a magnitude of 18 N, and the third a magnitude of 15 N. What can we conclude about the magnitude of the net force vector? Explain. I. It must equal 42 N. II. It cannot be 0 N. III. Anything from –42 N to +42 N. IV. It can be anything from 0 N to 42 N. V. None of the above can be concluded.FI 10 N Figure 1 15 N 60° 45° Situation 1 (Items 1-3). Two forces act on a particle as shown in Figure 1. 1. What is the horizontal component of the resultant of the two forces? a. 0.43 b. 5.92 2. What is the vertical component of the resultant of the two forces? c. 14.57 d. 20.06 a. 0.43 b. 5.92 c. 14.57 3. Which of the following gives the magnitude of the resultant force? c. 20.92 d. 20.06 a. 6.35 b. 15.73 d. 25.98 6.A force, F1, of magnitude 3.3 N and directed due east is exerted on an object. A second force exerted on the object is F2 = 3.3 N, due north. What is the magnitude and direction of the third force, F3, which must be exerted on the object so that the resultant force is zero? A. 4.7 N, 45 degrees N of E. B. 6.6 N, 45 degrees S of W. C. 6.6 N, 45 degrees N of E. D. 4.7, 45 degrees S of W.
- The resultant of the concurrent forces has a magnitude of 1000 N passing through points (x₁ = 0, y₁ = 0, z₁ = 0) and (x₂ = 2, y₂ = 3, z₂ = 4). 1. Compute the x- component of the resultant force. a. 371.1 N b. 392.3 N c. 422.6 N d. 245.9 N 2. Compute the y – component of the resultant force. a. 512.9 N b. 557.1 N c. 435.8 N d. 634.7 N 3. Compute the z – component of the resultant force. a. 632.7 N b. 642.8 N c. 742.1 N d. 791.3 NQ. 14 Calculate the x-component and y-component of the following vectors: Draw the given vectors on the x and y-axis. A = 20 m, due E B = 40 m, 30° N of WThree vector forces with magnitudes of F₁=2.42N, F₂-9.42N and F3=0 act on a particle of mass m = 6.99 kg as shown in Fig. Calculate the magnitude of the Net force acting on the particle. Given additional Data: 0₁=25° 03=49⁰ Input your answer in N using 3 significant figures. F₁ 0₁ 03 F₂ F3
- A boulder is being pushed by two different people on a flat terrain. The net force on the boulder can be expressed in the Cartesian coordinate system as vector f = (-4i + 5.5j)N. Where I and j denote directions to the east and north. A. Find the magnitude in N B. Find the direction (in degrees counterclockwise from the east axis) of the push.Learning Goal: A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000, 0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u =(-1/3)i + (2/3)j + (2/3)k. He pulls with a force F= 324 N from point A [(1.10, 1.40, 0.000) m]. Figure 1 of 1 4Two forces, F1 and F2, act at a point. F1 has a magnitude of 8.60 N and is directed at an angle of 55.0∘ above the negative x-axis in the second quadrant. F2 has a magnitude of 5.60 N and is directed at an angle of 52.1∘ below the negative x-axis in the third quadrant. a. what are the x and y components of the resultant force? b. What is the magnitude of the resultant force?
- B Consider the two vectors given in the figure, what is their SUM in the unit vector notation? 4i-2j 2i-6j 4i+2j 4i+6jMr. One is pushing a cart with a force of F1 - 15.00 N due north. Mr. Two is pushing the same cart with a force of F2 - 25.00 N due northeast. Mr. Three is pushing the cart a force F3 so that the cart is in equilibrium. Find force F3 so that F +Fz+F3=0. First, we calculate the vector sum F + F2 by component method. The x-component of F, is and the y-component is The x-component of Fz is and the y-component is Adding the components, we can express the resultant vector in unit vector component form: Since we want to find F +F;+F3-0, t follows that F- - (Fj +F). Thus, The magnitude of Fg is F3- N.788 N 53⁰ y 32° 411 N 31° 985 N x 2. Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vectors shown in the Figure on the left. a. Find the x- and y-components of each of the three pulls. b. Use the components to find the magnitude and direction of the resultant of the three pulls.
