Physics

posted by .

Consider two vectors F~
1 with magnitude 44 N
inclined at 163

and F~
2 with magnitude 72 N
inclined at 236

, measured from the positive
x axis with counterclockwise positive.
What is the magnitude of the resultant vector F~
1 + F~
2 ? Draw the vectors to scale on a
graph to determine the answer.
1. 130 N
2. 98 N
3. 123 N
4. 95 N
5. 52 N
6. 72 N

What is the direction of this resultant vector (between the limits of −180◦
and +180◦
from the positive x-axis) ?
1. 103◦
2. 6◦
3. 23◦
4. 37◦
5. −38◦
6. −150◦

  • Physics -

    R = 44N@163o + 72N@236o.

    X =Hor.= 44*cos163 + 72*cos236=-82.3 N.
    Y =Ver.= 44*sin163 + 72*sin236=-46.8 N.

    1. R^2=X^2 + Y^2=(-82.3)^2 + (-46.8)^2 =8963.53.
    R = 95 N. = Resultant force.

    tanAr = Y/X = -46.8/-82.3 = 0.56865.
    Ar = 29.62o = Reference angle.
    A = 29.62 + 180 = 210o,CCW. = -150o,CW.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Consider three force vectors ~ F1, ~ F2, and ~ F3. The vector ~ F1 has magnitude F1 = 86 N and direction θ1 = 169◦; the vector ~ F2 has magni- tude F2 = 46 N and direction θ2 = 240◦; and the vector ~ F3 has magnitude …
  2. Physics

    Consider four vectors ~F1, ~F2, ~F3, and ~F4, where their magnitudes are F1= 57 N, F2= 38 N, F3= 25 N, and F4= 67 N. Let θ1= 130◦, θ2=−130◦, θ3= 29◦, and θ4=−64◦, measured from …
  3. Physics

    1. Consider four vectors ~F1, ~F2, ~F3, and ~F4, where their magnitudes are F1= 57 N, F2= 38 N, F3= 25 N, and F4= 67 N. Let θ1= 130◦, θ2=−130◦, θ3= 29◦, and θ4=−64◦, measured …
  4. Physics

    A. Given two vectors ~F1, and ~F2. Where the magnitude of these vectors are F1= 81 N, and F2= 90 N. And where θ1= 80◦,and θ2= 22◦. The angles are measure from the positive x axis with the counterclockwise angular …
  5. physics

    A particle undergoes two displaments , measured from the positive x-axis, with counterclockwise positive.The first has a magnitude of 11 m and makes an angle of 88 with the positive x-axis. The resultant displacement has a magnitude …
  6. Physics

    A vector has magnitude 58.0 units and is inclined to the positive axis of x at 42.0°. Vector has magnitude 36.0 units and is inclined to the positive axis of x at 121°. Vector has magnitude 40.0 units and is inclined to the positive …
  7. physics

    Consider two vectors F~ 1 and F~ 2 with magnitude F1 = 61 N and F2 = 63 N and where θ1 = 98 ◦ and θ2 = 50 ◦The angles are measured from the positive x axis with the counter-clockwise angular direction as positive. …
  8. physics

    Consider two vectors where F1 = 98 N , F2 = 61N,θ1 = 343◦ ,andθ2 = 68◦ ,measuredfrom the positive x axis with the counter-clockwise angular direction as positive. What is the magnitude of the resultant vec- tor …
  9. Physics

    A particle undergoes two displacements, measured from the positive x-axis, with counterclockwise positive. The first has a magnitude of 11 m and makes an angle of 67 ◦ with the positive x axis. The resultant displacement has …
  10. Physics

    Consider two vectors F~1 with magnitude 69 N inclined at 177◦ and F~2 with magnitude 58 N inclined at 286◦, measured from the positive x axis with counterclockwise positive. What is the magnitude of the resultant vector …

More Similar Questions