Question

13. (5 pts) Find the resultant of 33 m at 74o and 52 m at
-35o.

A) Calculate the sum of the displacements in the x-direction. Keep
six sf.

B) Calculate the sum of the displacements in the x-direction. Keep
six sf.

C) What is the magnitude of the resultant of the displacement? Keep
two sf.

D) What is the angle of the resultant in degrees? Keep two sf.

(SF means significant figures)

Answer #1

33 m at 74 deg

52 m at -35 deg

(A) Sum of displacement in the x - direction -

X = [33*cos74 + 52*cos(-35)] m = [9.09603 + 42.59591] m = 51.6919 m (Answer)

(B) Sum of displacement in the y - direction -

Y = [33*sin74 + 52*sin(-35)] m = [31.7216 - 29.8260] m = 1.89560 m (Answer)

(C) Magnitude of the resultant displacement = sqrt [X^2 + Y^2] = sqrt[51.6919^2 + 1.89560^2] = 52.0 m (Answer)

(D) Angle of the resultant, = tan^-1(Y/X) = tan^-1(51.6919/1.89560) = 88.0 deg. (Answer)

Consider two displacements, one of magnitude 12 m and another of
magnitude 16 m. What angle between the directions of this two
displacements give a resultant displacement of magnitude
(a) 28 m, (b) 4 m, and
(c) 20 m.

A man pushing a mop across a floor causes it to undergo two
displacements. The first has a magnitude of 142 cm and makes an
angle of 116° with the positive x axis. The resultant displacement
has a magnitude of 151 cm and is directed at an angle of 32.0° to
the positive x axis. Find the magnitude and direction of the second
displacement. magnitude cm direction ° (counterclockwise from the
positive x-axis)

266) (H) Find the resultant of the two vectors. (M1=8.57;
A1=58.7) = V1; (M2=3.94; A2=52.1) = V2; (M3,A3)=V3=V1+V2
M=magnitude and A=angle in degrees. answers=M3 and A3 (deg) The
resultant of two vectors is the same a the sum of them. There are 2
answers.

Determine the resultant of adding the following three vectors.
R = A + B + C
A = 5.00 cm, 30 degrees
northeast
B = 8.00 cm, 45 degrees
southeast
C = 10.00 cm, 60 degrees southwest
(a) Use graph paper and carefully sketch the vectors tip to
tail. Draw and measure the resultant vector with
the ruler and protractor. Label all vectors. Include both magnitude
(length) and direction (angle). Do not calculate the answers!
(b) Find the x...

When at rest, a proton experiences a net electromagnetic force
of magnitude 8.1×10−13 N pointing in the positive
x direction. When the proton moves with a speed of
1.6×106 m/s in the positive y direction, the
net electromagnetic force on it decreases in magnitude to
7.0×10−13 N , still pointing in the positive x
direction.
Part A: Find the magnitude of the electric
field. Express your answer using two significant figures.
Part B: Find the direction of the electric
field....

An object experiences a constant acceleration of 2.00
m/s2 along the -x axis for 2.70 s, attaining a
velocity of 18.0 m/s in a direction 47∘∘ from the +x
axis.
1)
Calculate the magnitude of the initial velocity vector of the
object. (Express your answer to two significant
figures.)
2)
Calculate the direction of the initial velocity vector of the
object. Find the angle this vector makes with respect to the +x
axis. Use value from -180 to +180. (Express...

Add the two vectors to find the resultant vector C which is
equal to A +B
A: 120
feet at 33 degrees North of East
B: 150
feet at 40 degrees South of East
Find the component vectors:
Ax:
Ay:
Bx:
By:
Find the components of C
Cx:
Cy:
Put C back together
Add the vectors:
A: 124
miles at 5 degrees North of South
B: 88
miles at 82 degrees North of South
Components:
Ax:
Ay:
Bx:
By:
Cx:
Cy:
Final Answer: give...

The three displacement vectors in the drawing have magnitudes of
A = 5.05 m, B = 4.90 m, and C = 4.20 m. Find the resultant
(magnitude and directional angle) of the three vectors by means of
the component method. Express the directional angle as an angle
above or below the positive or negative x axis. (Assume α = 25° and
β = 61°. Give an answer between 0 and 90°.)

The three displacement vectors in the drawing have magnitudes of
A = 4.60 m, B = 4.85 m, and C = 3.70 m. Find the resultant
(magnitude and directional angle) of the three vectors by means of
the component method. Express the directional angle as an angle
above or below the positive or negative x axis. (Assume α = 25° and
β = 58°. Give an answer between 0 and 90°.)

You're sailboarding at 6.0 m/s when a wind gust hits, lasting
6.2 s accelerating your board at 0.46 m/s2 at a 35∘ to your
original direction.
A) Find the magnitude of your displacement during the gust.
Express your answer using two significant figures.
B) Find direction of your displacement during the gust. Express
your answer using two significant figures.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 9 minutes ago

asked 36 minutes ago

asked 52 minutes ago

asked 54 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago