Future space stations will create artificial gravity by rotating. Consider a cylindrical space station of 730 m diameter rotating about its axis. Astronauts walk on the inside of the station. What rotation period will provide “normal" gravity?

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: 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: Which one to use

A: If you're asking where to post computer science questions, there are several options depending on…

Q: Unit vector is equal to:  a.   Vector divided by its magnitude.  b.   Magnitude divided by its…

A: The quantity which comprises of magnitude as well as direction, is referred to as vector quantity. A…

Q: Given vectors p and a have a magnitude of 7 and 2, respectively. Find the magnitude and direction of…

A: Magnitude of p = 7 Magnitude of q = 2 Angle, θ = 150°

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: 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…

A:

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: 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: Find the direction and magnitude of the resultant vector for the drawing of two forces. 85 N 110N

A: Given data:  Force (F1) = 110 N Force (F2) = 85 N Angle between forces (θ) = 90° Required: The…

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

A:

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

A:

Q: Vector A = 3+39+2 and B = -4£ – 2ŷ + 52. Find the dot product and the cross product of A and B.

A: Given: Vector A→=3x^+3y^+z^ and vector B→=-4x^-2y^+5z^

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: +2=38N₁ Э Im man k done Find

A:

Q: Select the correct statement for: “If the vector has a magnitude of 25 meters and make an angle of…

A: The magnitude of a vector is the length of the vector and the angle is the orientation from the axis…

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

A:

Q: A vector has an x-component of 2.64 and a y-component of 4.58.  The magnitude of the vector is:

A: The objective of the question is to find the magnitude of a vector given its x and y components. The…

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

A:

Q: 8. The vector A and its negative vector have A Same magnitude and direction Same magnitude and…

A: Given, A vector A Let A vector=xi+yj its negative vector B=-xi-yj

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

A:

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…

A:

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

A:

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: A force of 100N makes an angle Determine both the x-component with the x-axis and has a y-component…

A: Component of force along x axis = A Cosθ  Component of a force along y axis  = A Sinθ

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

A:

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: 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: 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: The direction of the shown vector is 1/2

A: Given; point P is (1/2, 1, 0) point Q is (1, 1, 1)

Q: Question 6

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