A spring has a length of 0.200 m when a 0.300-kg mass hangs from it, and a length of 0.750 m when a 1.95-kg mass hangs from it. (a) What is the force constant of the spring? (b) What is the unloaded length of the spring?

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: 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: Find resultant

A:

Q: how about 2 , 3 and 4

A: Dear student,  Since all questions are different as per guidelines we can author only one question.…

Q: Q: If A- fi+2f) and E - fi+2f]+ 3f k,fis constant, find the angle between these two vectors?

A:

Q: A direction cosine is: O The cosine of the angle between a vector and a particular coordinate axis.…

A: In geometry the direction of the cosine is known as direction of cosine of a vector as the cosines…

Q: Where 31.2 m is the length of the vector and 76.9° is the angle it makes with the y-axis, what is…

A:

Q: Find the following vector product B x B.

A: From the given diagram: The x-component (horizontal component) of B→ is       Bx = Bcos53o =…

Q: Two vectors, A and B, have magnitudes of 5.40 units and 9.81 units, respectively. The angle between…

A: Ans; 35.102 unit2 Explanation:Step 1:

Q: If the dot product of two vector A and B is negative, what statements reguarding A and B are true…

A: In this question we are given that the dot product of two vectors A and B is negative and we have to…

Q: Which of the following plots produce a line with slope equal to 6.626 x 10 34 J s? Select all that…

A:

Q: The x and y components of a vector are rx = 15 m and ry = -8.5 m, respectively. Find the direction…

A:

Q: and B=5 are perpendicular ( doleïs ). What is the value of ?the constant d

A: Given that Both vectors A and B are perpendicular, So their dot product must be zero. A.B = 0 Also…

Q: If a vector has a x-component = - 53.7 m and a y- component = -12.3 m, what is the direction of the…

A: The vector diagram for the provided vector is:

Q: Vecrors of length 10 and 15 have a Cross product of 150 if i add those vectors, what is the length…

A: The dot product of the two vectors is,

Q: A FCA = 500 lb 14 ft FRA 350 lb FDA 400 lb B 3 ft y 3 ft 2 ft D 3 ft3 3 ft 6 ft.

A: Solution:-Given that

Q: Find the angle between vector a and b if a 21 +j- k and b 3i - 6j + 2k

A: a→ = 2i^ + j^ - k^b→ = 3i^ - 6j^ + 2k^

Q: (a) Write a note on vector product or cross product with its characteristics. (b) Find the cross…

A: Given: A→=3i+1j-2kB→=1i-3j+4k

Q: Determine the angles made by the vector V=-491+30j with the positive x- and y-axes. Write the unit…

A: The problem is based on the concept of vectors. We have to calculate the unit vectors also. The…

Q: Given two vectors with equal magnitudes of 59 and their sum vector 93j. Find the angle between them.

A:

Q: If A = 5f + 26 – Żand = f – 36 + 42 , find the following: (а) А- В

A: Given data:A=5r^+2ϕ^-z^B=r^-3ϕ^+4z^

Q: estion 7 Find the magnitude of the vector whose x- and y-components are given to be -1.036 and…

A: Given here,X COMPONENT: x=-1.036Y COMPONENT: y=-4.3512

Q: Ã = (5 m/s)î + (2 m/s)j, B = (3 kg · m/s²)î + (2 kg · m/s²)I %3D

A:

Q: Find the vector sum of the following vectors using Analytical method and  polygon method. 1.…

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Q: Find angle between two unit vectors A and B. A = 10i-3j-15k; B = 13i-5j+3k

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Q: Determine the resultant of the following: 8.0 N at 40°, 9.0 N at 120°, and 12.0 N at 200 all angles…

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Q: . A vector has an x- component of - 25.0 units and a y - component of 40.0 units. Find the magnitude…

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Q: In the cross (or vector) product qu x B we know that 9=1 -307 +9.07+-212 -3.07+4.07 +6.0 B=B₁1+B7+BA…

A:

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

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Q: Express the force in Cartesian vector form. 53 F = 750 lb

A: Given, We need to write the force vector in cartesian form. the x-component of force is:…

Q: A force 4 N making angle 45 with x axis. The y component is?

A: Answer Given  Force  F = 4 N Angle θ = 45º with x axis we have to find y component.

Q: Question 2: The cross product of A and B vectors was shown by C vector. Please calculate the vector.…

A: The given vectors are A→=2i-j+2k B→=3i+4j-k The cross product of A→ and B→ is…

Q: Vector A = 7.4 i + 3.2 j.  Vector B = 3.7 i - 7.1 j. Calculate the angle between the two vectors in…

A: Given data The vector A is given as A = 7.4 i + 3.2 j The vector B is given as B = 3.7 i – 7.1 j.…

Q: The vector The vector C has length 16 and points at an angle of 15° has length 12 and points at an…

A:

Q: A vector has a magnitude of 25 and points in a direction that is 35° above the positive x axis.

A:

Q: What are the polar coordinates of a vector whose component vectors are -6.50 m vertically and +9.60…

A:

Q: Question 6

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

Q: Find the angle between vector a and b if a =i+ 3j + 2k and b = 2i-6j-3k %3D

A:

Q: The dot product of the same vector to itself is magnitude of the vector O Infinity square of…

A: as per guideline I m solving the first one we know that a.b=abcosθ