F₂ * F₁ 1 F4 (a) Find the resultant forces acting at P, and write the vector in terms of the vectors i and j. (Round your answers to two decimal places.) 0 X (b) Find the additional force required (if any) for the forces to be in equilibrium, and write the vector in terms of the vectors i and j. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) dne X

Q: Figure

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Q: Forces with magnitudes of v=100 Newtons and u=80 Newtons acted on a hook at the origin. The angle…

A:

Q: Given the following four force vectors in terms of their magnitude and directions, find the…

A: Given,  Four vectors in terms of their magnitude and direction. F1 = 534.7 N @ 135.4°F2 = 987.6 N @…

Q: y (m) Problem 2: (2 points) Vectors à and C are shown in the figure. Vector Ở is given by ở = Ā – B.…

A: given that C→=A→-B→ we can also rearrange it as :- B→=A→-C→ angle between A and C θ=30+52=820…

Q: Three force vectors, F1, F2 and F3, have magnitudes of 8N, 12 N and 15 N respectively. The angles…

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Q: Given the following three force vectors in terms of their magnitude and directions, find the…

A: Please see the answer below.

Q: Assume the following forces are acting on an object: F₁ = 40N at 165 degrees F2= 45N at 240 degrees…

A: The forces acting on the object are:The free-body diagram is;

Q: Three forces act on a point. The forces are represented by colored arrows.  The orange force is 10 N…

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Q: Vector A is 5.0 cm long and vector B is 4.0 cm long. Find the angle between these two vectors (in…

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Q: The resultant force of the wind and the weights of the various components act on the sign (Figure…

A: In this problem, first, we have to calculate the resultant force in each direction of (x, y, z)…

Q: A force  F1  of magnitude 5.40 units acts on an object at the origin in a direction θ = 33.0° above…

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Q: Consider the two force vectors D = (2.37 N)i + (-5.01 N)j + (2.89 N)k and F = (3.45 N)i + (2.01 N)j…

A: Given

Q: A gardener pushes a lawnmower with a force of 20 N downward and to the right, as shown in the figure…

A: Given: A gardener pushes lawnmower force F =20N The horizontal angle θ =76o

Q: Three forces act on point P. Force A equals 80.0 N, 60.0°. Force B equals 70.0 N, 0.0°. Force C…

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Q: Before starting this problem, review Conceptual Example 7. The force vector A has a magnitude of…

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Q: Two force vectors are added together. The vectors are as follows. Vector A is a force of 52 Newton’s…

A: →A = 52(cos62i^ +sin62j^)→A = 24.4i^ + 45.9j^ N→B = 120(cos58i^ +sin58j^)→B = 63.6i^ + 101.77j^ N

Q: Find the angle between vectors for the following. (Enter the smallest positive angle for each in…

A: (a) The angle between the two vectors can be found by taking the dot product of the two vectors and…

Q: A solar sailplane is going from Earth to Mars. Its sail is oriented to give a solar radiation force…

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Q: force vector F has a magnitude of 15.0 N. It is oriented 60° to the left of the +y axis. What are…

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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: FA 30 B FB = 800 N Suppose that FA = 790 N and 0 = 45° . (Figure 1) %3D Determine the magnitude of…

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Q: Four forces (measured in Newtons) act on a crate. The forces are given by the vectors: F₁ =…

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Q: Find the resultant vector of the following forces using the parallelogram method. F1= 500N 60°…

A: According to the parallelogram law of vector addition:  The resultant vector of two vectors a→ and…

Q: Three forces are applied to an object, as shown in the figure. Force F₁ has a magnitude of 23.4…

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Q: Forces with magnitudes of F₁ - 165 newtons and F₂- 254 newtons act on a hook (see figure). The angle…

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Q: A force F, of magnitude 5.60 units acts at the origin in a direction 26.0° above the positive x…

A: Given  F1 = 5.60 at an angle 26.0 degree   F2 = 5.0 units   This F1+ F2 is ....

Q: y F2 = 50 kN F1 = 25 kN F3 = 30 kN 0.8 m b) (LO2) Find the of force F2. Answer: c) (LO2) Find the…

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Q: 56. A forklift is used to offload freight from a delivery truck. Together the forklift and its…

A: a. The force vector in terms of i and j can be represented as shown below.…

Q: The force F has a magnitude of 600 lb and acts along the line AM where Mis the midpoint of the…

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Q: A force F1 of magnitude 6.30 units acts on an object at the origin in a direction θ = 47.0° above…

A: Consider the figure below.

Q: Two forces are shown in the figure. Force A has magnitude 8 units and angle α is 40 degrees. Force B…

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Q: Two vectors are given by a  =  1.5î−4.0ĵ and b  =  −11.9î + 8.1ĵ. What is the magnitude of b? i…

A: Given data: Vector b = -11.9i + 8.1j Required: The magnitude of the vector b and angle between…

Q: you will be given some values for a vector and will need to determine the missing values. Then, you…

A: As per guidelines, only 3 subparts are solved here. Magnitude of A =Ax2+Ay2 Angle of A = tan-1(AyAx)…

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!