Three forces act on a point. The forces are represented by colored arrows.  The orange force is 10 N @ 105o; the blue force is 8 N @ 210o; and the green force is 15 N @ 315o.  Express the net force on that point in both unit vector notation and polar notation.

Q: The vector V3 of the figure is equal to: A. V2 - V1 B. V1 /cos θ C. V1 - V2 D. V1  + V2 E. V1 cos θ

A: The three vectors are given as V1 , V2 and V3.

Q: Q1/ A-Given F1=5.0N 30° N of E F2=7.0N 60° S of W and F3=10.0N 40° E of S. (a) the vector components…

A: Given information: The magnitude of force F1 = 5.0 N and direction 300 N of  E The magnitude of…

Q: Add the following Forces analytically to find the resultant vector, the magnitude of the resultant…

A: The given vector: F1= 350 N Subtends 105° with x-axisF2=450  N Subtends 203° with x-axisF3=350 N…

Q: Find the tension in each cord in the following diagram. Weight w = 200LB.  To solve this problem,…

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Q: A force F1 of magnitude 5.00 units acts at the origin in a direction 34.0° above the positive x…

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Q: Using component method, find the resultant vector of the following: a. 3m (North) and 10m (West) b.…

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Q: Find the unit vector of direction for the following vector quantities: (a) Force F = (3.01 –-…

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Q: Two vectors are given by a = 2.5î + 5.6ĵ and b = 7.9î + 2.4ĵ. Find (a) a × b ,(b) đ b,(c) (a + b). b…

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Q: Specify the coordinate direction angles of F1 and F2and express each force as a Cartesian vector.

A: The force F1 in the form of a Cartesian vector is given as, The coordinate direction angle of force…

Q: The x component of the vector is -3.5 units, and its y component is -4.5 units. The magnitude of…

A: Given, X component(X) = -3.5 Y component(Y) = -4.5

Q: Q1/ A-Given F1 =5.0N 30° N of E F2=7.0N 60° S of W and F3=10.0N 40° E of S . (a) Find the components…

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Q: ne force of magnitude 70 acts on an object. Another force of magnitude 58 acts on the object at a…

A: Given: The magnitude of the first force is 70 units. The magnitude of the second force is 58 units.…

Q: Given two vectors A = 6i + 9j – 7k and B = –123 – 5k, the magnitude of the vector sum is:

A: Given data:  Two vectors  A = 6i + 9j - 7k B = -12j - 5k Required: The magnitude of the vector sum

Q: Two vectors, A and B are defined as follows:   A lies 20° above the x-axis, and has a magnitude of…

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Q: The resultant of 3 vectors is equal to 23 units, 11 W of N. The added vectors are as follows: A = 27…

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Q: Given to vector, A = (4) î + (0) 3+ (7)nd B= (0) i + (3) j + (3) ævaluate, č= Ä × B x component Give…

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Q: Question 4.1 A heavy object is lifted using two ropes and two punleys as shown on the diagram below.…

A: 4.1.1 A closed vector diagram is the ine in which the resultant vector is zero which means that if…

Q: Find the magnitude and direction of the resultant vector using the analytical method.…

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Q: if AB is 4/9i+4/9j-7/9k, The vector component of the weight that is perpendicular to AB is: -5.19i…

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Q: d1+2d2=5d3, d1-d2=9d3 and d3=2+4, then what are the following vectors in unit-vector notation? a)…

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Q: Vector Á has a magnitude of 5.00 units, and vector B has a magnitude of 9.00 units. The two vectors…

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Q: If d1 + 5d2 = 5d3, d1 − 2 = 8d3, and d3 = 2i + 4j, then what are the following vectors in…

A: Let d1 = d1x i + d1y j and d2 = d2x i + d2y j from d1 + 5d2= 5d3 we get  (d1x + 5d2x) i + (d1y+…

Q: Determine the unit vector in the direction of the force F k) Jse three significant figures for your…

A: given:

Q: Calculate the magnitude of vector B if it has x, y, and z components of 4, 6, and 3 units,…

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Q: The magnitude and direction of a resultant vector is 100 N 30degree North of East. What is the…

A: Magnitude of force =100N Direction =30° north of east

Q: Here q, = 10 µC, q2 = -5 µC, and q3 = 5 µC. The distance is a = 1 mm. Calculate the force on 93. You…

A: Given that, the value of charge q1 and q2 and q3 and distance (a) is also given. Then We have to…

Q: P1 P=10 kN 40 100 P2 20 х ахis

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Q: Find the resultant vector in magnitude and direction of the following forces. F1 = 250 N 45° 25° F2…

A: Given data:  Two forces F1 = 250 N, θ1 = 45° above positive x-axis F2 = 160 N, θ2 = 25° below…

Q: Determine the magnitude of the projection of the vector force F = 100N, onto u axis, from the figure…

A: The projection of force vector F on u-axis is,  Fu = F Cos θ -------(1)

Q: The x component of vector A is 6.0 units, and its y component is 7.5 units. The magnitude of A is…

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Q: The normal force is available when * two objects without direct contact. O two objects in direct…

A: Q1)option 2 is correct. It is form of contact force. So it is applicable when the two objects are in…

Q: A vector component is always larger than the magnitude of the vector. True False

A: Given that:- Basic concepts of vector.

Q: Add the following Forces analytically to find the resultant vector, the magnitude of the resultant…

A: F1→=350N @ 1050=-90.59Ni^ +338.07Nj^F2→=450N @ 2030=-414.23Ni^  -175.83Nj^F3→=350N @ -360=283.16Ni^…

Q: A force F, of magnitude S.70 units acts at the origin in a direction 40.0 above the positive x axis.…

A: F1→ = 5.70 units in a direction  40o above +x axis F2→ = 5 units in a direction along + y axis To…

Q: The  x component of vector   is -8.0 units, and its  y component is 3.2 units. The magnitude of   is…

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Q: What is the angle between vector Å = 5î + 2ĵ + 9k with x-axis? 130.8° 30.8° 80° 61.5°

A: Given: The vector A is 5i^+2j^+9k^. The unit vector along the x-axis is i^.

Q: Determine the magnitude of force, F (kN), if the resultant of the vectors shown in the figure is 67…

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Q: Express each force in Cartesian vector form and then determine the resultant force. F₂ = 175 lb 60°…

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Q: The resultant of 3 vectors is equal to 23 units, 11 W of N. The added vectors are as follows: A = 27…

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Q: A force ofF1= 50.0 N is directed at an angle of 60° above the x-axis. A second force of  F2 = 50.0 N…

A: Force is something that we all experience every day. We have different forms of force such as…

Q: Express each of the forces shown below in Cartesian vector form, with correct vector notation; 25 KN…

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Q: the force F as a vector

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Q: The  x component of vector   is -6.8 units, and its  y component is - 5.5 units. The magnitude of…

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Q: If d1+2d2=5d3, d1-d2=9d3 and d3=2i+4j, then what are the following vectors in unit-vector notation?…

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Q: Weight is one type of forces, it is a vector ( magnitude and direction, always vertically downward).…

A: Required : True or False.

Q: Vector A points to the north and has length A. Vector B points to the east and has length of B=2.5A.…

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Q: A force, F1, of magnitude 3.3 N and directed due east is exerted on an object. A second force…

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Q: The method of vector addition is called algebraic addition. True or false?

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!