Question

In: Physics

Rewrite the following vectors in terms of their magnitude and angle (counterclockwise from the +x direction)....

Rewrite the following vectors in terms of their magnitude and angle (counterclockwise from the +x direction).

(a) A displacement vector with an x component of +9.1 m and a y component of -9.5 m.

magnitude
angle


(b) A velocity vector with an x component of -98 m/s and a y component of +38 m/s.

magnitude
angle   


(c) A force vector with a magnitude of 54 lb that is in the third quadrant with an x component whose magnitude is 33 lb.

magnitude
angle

Solutions

Expert Solution

a)A displacement vector with an x component of +9.1 m and a y component of -9.5 m.

Magnitude of displacement

X-componet of displacement is positive and Y-component is negative, so the displacment vector lies in 4th qudrant.

Angle of displacment counter clockwise from positive X-axis.

Magnitude:

Angle:

------------------------

b)
(b) A velocity vector with an x component of -98 m/s and a y component of +38 m/s.

Magnitude of displacement

X-componet of velocity is negative and Y-component is positive, so the velocity vector lies in 2nd qudrant.

Angle of displacment counter clockwise from positive X-axis.

Magnitude:​​​​​​​

Angle:

------------------------

c)A force vector with a magnitude of 54 lb that is in the third quadrant with an x component whose magnitude is

33 lb.

In the third quadrant X-component and Y-component of forces are negative.

​​​​​​​ counter clockwise from positive X-axis.

Magnitude:

Angle:

genius_generous answered 1 year ago
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