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 a magnitude of 7.7 m directed at an angle
of 98 ◦
from the positive x axis.

Find the angle of the second displacement
(measured from the positive x axis, with counterclockwise
positive and within the limits of
−180◦
to +180◦
).
Answer in units of ◦

  1. 👍 0
  2. 👎 0
  3. 👁 346
  1. you want (x,y) such that

    (11cos67,11sin67) + (x,y) = (7.7cos98,7.7sin98)

    Evaluate x and y, and then find θ such that tanθ = y/x

    1. 👍 0
    2. 👎 0
  2. x-comp -5.3696
    y-comp -2.5
    magnitude 5.92
    angle 335 degrees

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics help!!

    A crate is pulled to the right with a force of 80 N, to the left with a force of 125.8 N, upward with a force of 615.4 N, and downward with a force of 248 N. Net external force in the x direction: -45.8 Net external force in the y

  2. physics

    Two forces, 1 = (3.85 − 2.85) N and 2 = (2.95 − 3.65) N, act on a particle of mass 2.10 kg that is initially at rest at coordinates (−2.30 m, −3.60 m). (a) What are the components of the particle's velocity at t = 11.8 s?

  3. university physics

    An object at rest explodes into three fragments. The figure shows the momentum vectors of two of the fragments: vector P1 is directed along the px axis and has a magnitude of 74.0 kg m/s. vector P2 is at an angle of 300.°

  4. physics help PLZ!!

    What is the direction of the net external force on the crate (as an angle between −180◦ and 180◦ , measured from the positive x axis with counterclockwise positive)? Answer in units of ◦ Ive solved for the net external

  1. Physics

    An object is being acted upon by three forces and moves with a constant velocity. One force is 60N along the x-axis, the second force is 75N along a direction making a counterclockwise angle of 150 degrees with the x-axis. What is

  2. Physics

    Uniform Circular Motion: Suppose that a particle's position is given by the following expression: r(t) = Rcos(omega*t)i + Rsin(omega*t)j 1. Choose the answer that best completes the following sentence: The particle's motion at t=0

  3. physics

    The position of a particle moving along an x axis is given by x = 15t2 - 2.0t3, where x is in meters and t is in seconds. (a) Determine the position, velocity, and acceleration of the particle at t = 3.0 s. x = m v = m/s a = m/s2

  4. Physics

    A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in the figure; the v-axis scale is set by vs = 7.0 m/s. (a) What is the

  1. 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 direction

  2. Physics

    particle A moves along the line y = 30m with a constant velocity of magnitude 3.5 m/s and parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with 0 initial speed and constant

  3. physics

    A 1.6 kg particle moving along the x-axis experiences the force shown in the figure. The particle's velocity is 4.2 m/s at x = 0 m. The figure or graph has F (N) along the y axis and velocity along the x axis. A diagonal line

  4. physics

    Force F1 acts on a particle and does work W1. Force F2 acts simultaneously on the particle and does work W2. The speed of the particle does not change. Which one of the following must be true? W1 is zero, and W2 is positive W1 = -

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