physics

dissplacement vector A is 4.5 km North, vector B is 3.0 km 50 degrees N of W. Find their resultant

  1. 👍
  2. 👎
  3. 👁
  1. vector A is 4.5 Km N, this means that for this vector we are not going to have an x- coordinate, we are only going to have a y- coordinate , since this vector is going N then the y- cordinate is postive number, and the y-coordinate for this vector will be + 4.5, while the x-vector is going to be 0
    vector B is 3 Km 50 degrees N of W, this simply means 3 Km W50N , for vector B, since the object is moving both in the x- direction and the y- direction then we are going to have an x- cordinate and a y- coordinate for this vector, also since the directions that this vector has are N and W , threrefore this means that we are going to have a negative x- coordinate ( because the object is going to the west in terms of the horizontal direction) and a postive y- coordinate( since the object is going north in terms of the vertical direction)
    in order to find coordinates for the second vector in terms of x and y: (- 3x cos50 , +3 sin50)
    = (-1.928, 2.298)
    then we are going to add both vectore together
    ( 0,4.5) +
    (-1.928, 2.298)
    =( -1.928, 6.798)
    we are going to use the pythageorm theorm to find the resultant displacment, we are going to call it h
    h^2=x^2+y^2
    h^2= (-1.928)^2 + (6.798)^2
    h^2= 49.931
    h= 7.06 Km
    then we know that the oject travelled a resultant displacment 7.06 Km, but we need to know in which direction did the resultant vector traveled.
    from the sum of the 2 vectors: (-1.928,6.798) we know that we have a negative x- cordinate which means we are going west horizontaly , for the y-coordinate we have a postive value which means we are going north verticaly) we are going to use H to find the angle in which the resultant vector is sin^-1( 6.728/7.60)= 62.72
    therfore the final resultant is 7.60 Km w62.2 N

    1. 👍
    2. 👎
  2. Hey umm, isnt h=7.06 instead of 7.6(?)

    1. 👍
    2. 👎
  3. 7.07

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    Vector vector A has a magnitude of 27 units and points in the positive y-direction. When vector vector B is added to vector A , the resultant vector vector A + vector B points in the negative y-direction with a magnitude of 18

  2. physics

    Displacement vector A is 4.5 km north. Displacement vector B is 3.0 km 50o N of E. Finds their resultant vector using the parallelogram method.

  3. Physics

    Vector A has a magnitude 12m and is angled at 60 degrees counterclockwise from the positive direction of the x axis of an xy coord. system. Also. Vector B = (12m)i + (8m)j on that same coord system. Rotate the system

  4. Physics

    Three vectors, each have a magnitude of 30 units, have their tails at the same oint and are directed 120 degrees from each other. Make a statement concerning the sum of these three vectors. a) the sum vector is 0 b) the sum vector

  1. jane

    1. a centripetal-acceleration addict rides in uniform circular motion with period T=2s and radius r=3m. at t1 his acceleration vector= 6(m/s^2)i + -4(m/s^2)j. At that instant, what are the values of vector b (dot) vector a and

  2. Physics

    You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third vector C lies on the xy-plane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector

  3. Physics

    VECTOR IS IN THE DIRECTION 34 DEGREES CLOCKWISE THE NEGATIVE Y AXIS. THE X COMPONENT OF VECTOR A IS NEGATIVE 16 M .(A)WHAT IS THE Y COMPONENT OF VECTOR A? (B) WHAT IS THE MAGNITUDE OF VECTOR A?

  4. Physics

    A jogger runs 145m. in a direction 20.0 degrees east of north (displacement of vector A) and then 105m. in a direction 35.0 degrees south of east (displacement of vector B). Using components, determine the magnitude and direction

  1. Calculus and vectors

    Vector AB is a vector whose tail is at (-4,2) and whose head is at (-1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (-6,0) and vector CD= vector AB. Please I need some help. Is

  2. physics

    The drawing shows a force vector vector F that has a magnitude of 600 newtons. It lies at alpha = 67° from the positive z axis, and beta = 31° from the positive x axis. (that's the diagram given) webassign. (delete this space)

  3. math vectors

    Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-space to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c. Can

  4. physics

    vector A = a displacement of 20 m due east vector B = a displacement of 30 m north find the magnitude and direction of the vector sum a+b

You can view more similar questions or ask a new question.