A force of magnitude 112 lb and one of 84 lb are applied to an object at the same point and the resultant force has a magnitude of 162 lb. Find to the nearest tenth of a degree the angle made by the resultant force with the force of 112 lb

Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…

A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)

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

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Q: Two spheres are cut from a certain uniform rock. One has radius 4.45 cm. The mass of the other is…

A: Given data:  Radius of sphere 1 (r1) = 4.45 cm Mass of sphere 2 (m2) = 6 m1 Required: The radius of…

Q: and direction of their resultant using trigonometry. A 20° 35° The magnitude of the resultant is The…

A:

Q: Vector A is 30 N and Vector B is 40 N, What angle does Vector A make with Vector B when the…

A: The angle does the vector A make with vector B is, R2=A2+B2+2ABcosθR2-A2-B2=2ABcosθcosθ=R2-A2-B22AB

Q: a force F1=315N acts in the first quadrant at an angle of 70 degress above the x axis, while a…

A: a force F1=315N acts in the first quadrant at an angle of 70 degress above the x axis, while a…

Q: The x- and y-components of a vector are: vx = 2.0 m/s, vy = -6.0 m/s.  Find the magnitude of the…

A: Given: horizontal x component of velocity vx=2.0 m/s. vertical y component of velocity vy=-6.0 m/s.

Q: Team A and Team B are having a tug of war. Team A exerts a force of 1278N and Team B exerts a force…

A: Team A and Team B are having a tug of war. Team A exerts a force of 1278N and Team B exerts a force…

Q: A force of 197 pounds makes an angle of 82°43' with a second force. The resultant of the two forces…

A: Magnitude of the first force is .The angle between the first force and the second force is  The…

Q: he second v

A: Given: To find the second vector magnitude and the direction is given as,

Q: Determine the magnitude and coordinate direction angles of the resultant force.

A: Step1: Given data: The magnitude of force on AB is |F1|=20 lb. The magnitude of force on AC is…

Q: The magnitude of a force vector is 86.0 newtons (N). The x component of this vector is directed…

A:

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: The magnitude of a force vector F is 87.5 newtons (N). The x component of this vector is directed…

A:

Q: Consider the 50 N force and an unknown force P acting on a hook. The resultant of these forces is 45…

A: Given data:  A Force = 50 N, 25° above left direction A unknown Force P The resultant force = 45 N,…

Q: Using a convenient scale, find the resultant of the following vectors graphically: 16 m at 140° with…

A:

Q: A force F1 = 4.90 N North and a force F2 = 9.80 N Southwest are added. The resultant vector is…

A: F1 = 4.90 N due north F2 = 9.80 N due south west

Q: Forces of 146.2 N and 170.0 N act on an object. The angle between the forces is 41.6 degrees. Find…

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Q: force of 116 N pulls due west on a body, and a second force pulls N 42.8 degrees west.  The…

A:

Q: two spheres are cut from a certain uniform rock. one has radius 4.50cm. the mass of the second…

A: Radius of one sphere is, r1 = 4.50 cm

Q: 6 units and is in the direction of +x-axis. Vector B has a magnitude 4 units and lies in the…

A: Given:- Vector B lies in x-y plane at an angle 30°with x-axis To find:-       Formula used:-

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: Two forces with magnitudes of 52 and 48 pounds act on an object at angles of 285 degrees and 265…

A: Two forces with magnitudes of 52 and 48 pounds act on an object at angles of 285 degrees and 265…

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

A:

Q: The x component of vector A is -15.8 m and the y component is +52.0 m. (a) What is the magnitude of…

A: Given that                      x component of A→ = - 15.8m              and  y component of A→ =…

Q: Forces of 3 pounds and 11 pounds act on each other with an angle of 165°. The magnitude of the…

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

A: The vector form of the vector A can be given as, The vector form of the product of the vectors A…

Q: While sliding a couch across a floor, Andrea and Jennifer exert forces and, on the couch. Andrea's…

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Q: A vector and has a magnitude of 7 units, and has a magnitude of 5 units, and the cross product of…

A: The physical quantity which has both magnitude and direction is considered as vector, otherwise…

Q: The force F is applied 45 degrees counter clockwise from the surface of the slope. The slope is 20…

A: Given data:  Force (F) = 60 lbs Angle with surface of slope (θ) = 45° Required: The magnitude of the…

Q: A force of 100 N is directed west, a second force of magnitude 200 N is directed 30 degrees NW. Find…

A: Given,In vector representation,F1 = 100 -i^F2 = 200 N, directed 30° NW

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: Vector vec (A) has magnitude 4.00 units; vector vec (B) has magnitude 4.50 units. The angle between…

A:

Q: a force 60N is a acting horizontally, and another force of 50N is acting upward to the right. if the…

A: Given, Force acting on a body towards horizontal direction, F1 = 60 N i^ Force acting upward to the…

Q: force of magnitude 53 acts on an object. Another force of magnitude 39 acts on the object at a right…

A: Resultant R2 = A2 +B2 + 2AB Cosθ