A force of 7 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 1.1 feet beyond its natural length?

Q: A roller-coaster car moves 200 ft. horizontally and then rise 135 ft. at an angle of 30.0O above the…

A: Given that:- Movement of roller coaster car is given in the question.

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

A: Very simple problem of vectors. We just need the angle between axes and force vector to determine…

Q: 5. Vector directions in one dimension are represented by a. Distances b. Magnitude c. Signs d.…

A: Vector direction in one dimension is represented by  a. Distance  Not correct  Distance is a scalar…

Q: 2- find the unit vector perpendicular to the vector P= 3ax +2y +ag

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Q: 10. Determine the x and y component of the vector 30 N, 30° North of East

A: The force is F = 30 N 30° North of East

Q: Vector A has components ??=−3.39 and ??=−12.7 . What is the magnitude ? of this vector? Determine…

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Q: Would it be a minus sign instead of a positive one ?

A: Yes , it would minus sign.  Complete solution is below.

Q: Given a vector's magnitude and direction, 52 at 332°, find the Y component of the vector.

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Q: What direction does the vector b = -5.00i + 5.003 N point in?

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Q: 46. A ship travels 50.0 mi on a course of 15.0° south of east and then travels 85.5 mi on a course…

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Q: solve algebraic equation. The unknown is a a=(b+c)2/d b=4 c= -8 d=16

A: The algebraic equation is given as, a=b+c2d The variables are given as, b=4c=-8d=16

Q: ector A has components ??=−16.1��=−16.1 and ??=4.32��=4.32 . What is the magnitude ?� of this…

A: Given data as per the question Ax=−16.1Ay=−4.32

Q: -X z (out of page) В (in ра -Y

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Q: add the vectors

A: For the first figure, the vector equation is

Q: Please also answer (b) and (c)

A:

Q: Two vectors A 6 units and B 8 units. If A B= 10, then the angle between the two vectors is O a 78 O…

A: Given: A=6units, B=8units, A·B=10 The expression of the dot product of two vectors is given by :…

Q: Part A - Finding the length of the hypotenuse of the first triangle For the first triangle, what is…

A:

Q: add the vector

A: Let the three vectors be denoted as A, B and C.Resolve the three vectors along the coordinate axes…

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

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: If the vector A=4i+ 2dj and B=5/-j are perpendicular (oeio ). What is the value of the constant d?…

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Q: The magnitude of vector A is 23.0 units and points in the direction 300° counterclockwise from the…

A: Magnitude of vector A→ = 23 units θ = 300o counterclockwise from + x axis

Q: The vector has a magnitude of 7.90 N and is pointing in a direction of 280. degrees counterclockwise…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: If a vector's components are all negative, then the magnitude of the vector is negative. Select one:…

A: The magnitude of a vector is square root of summ of square of its components. The square of the…

Q: In solid physics. Draw the plane ( 110 ) and the vector ( 110 ) in simple cube. The angle between…

A: Answer We have to draw (110) and the vector (110) in simple cube. The angle between planes are 56

Q: 82. Find the scalar components of three-dimensional vectors Gand H in the following figure and write…

A: Three dimension vector in terms of spherical polar co-ordinates…

Q: Part C Enter the expression -20 + 6D in the answer box using the notation just described. Express…

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Q: Given aB = 0.2ax +nay + O.6az the unit vector along B. What should be the value of n if B has a…

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Q: Draw the vector

A: vectors(2d) can be represented in sheets or plane by drawing with proper magnitude and direction.

Q: If the vector = 5 N and the angle with x-axis is ?= 36.80, then the rectangular form of the vector…

A: Given,Magnitude of the vector, R = 5 NAngle with the horizontal or with x - axis, θ = 36.80°

Q: Given c=3.21 and b=1.32, what is a? Round to two decimals

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Q: Convert the following Vectors given in polar coordinates (r, q) to the equivalent Vector in…

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Q: 51. A roller coaster moves 90.0 m horizontally forward, then travels 40.0 m at an angle of 24.0°…

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Q: Find a unit vector â parallel to the vector A = 41 – 3 j

A: Find a unit vector â parallel to the vector A = 41 – 3 j

Q: A vector has an x component of -24.5 m and a y component of 31.9 m. Find the magnitude and direction…

A: 1st part solution:

Q: 1. Calculate the resultant vector based on the information given in figure 1. Old 50.0 N 60.0⁰ 30.0⁰…

A: See below

Q: Question 6

A: Given Two vectors  and its resultant and their components along the x and y axis We have to find…

Q: 250 N the magnitude and dire 400 N 300 N Torce.

A:

Q: A boat travels on a course of bearing N 37 degree 109 W for 79.5 miles. How many miles north and how…

A: Given: The direction of the boat is N37o109'W=N 37o+109'×1o60' W=N 37o+109'×1o60' W=N38.82oW The…

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

A: