Physics

1. Two points in a plane have polar coordinates (2.5 m, 30 degrees) and (3.8 m, 120 deg). Determine (a) the cartesian coordinates of both points and (b) the distance between the points.

2. Vector A has magnitude 29 units and points along +y. When vector B is added to the vector A, the resultant ponits along -x with a magnitude of 14 units. Find the magnitude and directions of B.

3. Repeat #2, for the same vector A, but for the case where the resultant of A and B points along -y with a magnitude of 14 units .

  1. 👍 0
  2. 👎 0
  3. 👁 574
asked by Rachel
  1. 1a. 2.5m[30o]
    X = 2.5*cos30 = 2.17 m.
    Y = 2.5*sin30 = 1.25 m.
    P1(2.17,1.25).

    3.8m[120o]
    X = 3.8*cos120 = -1.9 m.
    Y = 3.8*sin120 = 3.29 m.
    P2(-1.9,3.29).

    1b. (2.17,1.25), (-1.9,3.29)

    d^2=(-1.9-2.17)^2 + (3.29-1.25)^2= 20.73
    d = 4.55 m.

    2. A + B = -14
    29i + B = -14
    B = -14 -29i = 32.2[244.2o]

    3. A + B = -14i
    29i + B = -14i
    B = -43i = 43[270o].

    1. 👍 0
    2. 👎 0
    posted by Henry

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate

    asked by Anonymous on June 14, 2013
  2. physics

    The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate

    asked by Anonymous on June 13, 2013
  3. science

    The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate

    asked by Abhishek on June 13, 2013
  4. physics

    The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate

    asked by raja harishchandra on June 13, 2013
  5. physics

    The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate

    asked by anonymous on June 14, 2013
  6. science

    The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate

    asked by raja harishchandra on June 14, 2013
  7. physics

    The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate

    asked by raja harishchandra on June 13, 2013
  8. physics

    The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate

    asked by raja harishchandra on June 12, 2013
  9. physics

    The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate

    asked by raja harishchandra on June 11, 2013
  10. physics

    The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate

    asked by rishabh on June 10, 2013

More Similar Questions