part 38. Three displacement vectors of a cro- quet ball are shown in Figure 20.0 units, P3.38, where A B = 40.0 units, and C = 30.0 units. Find (a) the resultant in unit- vector notation and (b) the magni- tude and direction of the resultant displacement. A B 45.0° 45.0 Ć

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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I need full assistance on number 38

2
%
Figure P3.29
31
0.0 yards, and then
of scrimmage for
ws a forward pass
lar to the line of
e of the football's
nt vectors A
C = (-21 +51) m.
determine (a) the
A + B + C and
n of E = -A
s of -8.70 cm and
has x and y com-
0 cm, respectively.
components of C?
omponents of 8.00,
. (a) Write a vector
tation. (b) Obtain a
TB one-fourth the
me direction as A.
ion for a vector C
ting in the direction
nts of 4.00, 6.00, and
(a) the magnitude of
es with each coordi-
ponent 3.00 units in
2.00 units in length,
student has learned that a single
cannot be
solved to determine values for more than one unknown
in it. How would you explain to him that both a and
can be determined from the single equation used in
part (a)?
38. Three displacement vectors of a cro-
quet ball are shown in Figure
P3.38, where |A| = 20.0 units,
B| = 40.0 units, and |C| = 30.0
units. Find (a) the resultant in unit-
vector notation and (b) the magni-
tude and direction of the resultant
displacement.
Figure P3.38
39. A man pushing a mop across a floor
M causes it to undergo two displace-
ments. The first has a magnitude of
150 cm and makes an angle of 120° with the positive x
axis. The resultant displacement has a magnitude of
140 cm and is directed at an angle of 35.0° to the posi-
tive x axis. Find the magnitude and direction of the
second displacement.
dim
A
40. Figure P3.40 illustrates typical proportions of male (m)
and female (f) anatomies. The displacements dim and
dif from the soles of the feet to the navel have mag-
nitudes of 104 cm and 84.0 cm, respectively. The dis-
placements dom and dar from the navel to outstretched
fingertips have magnitudes of 100 cm and 86.0 cm,
respectively. Find the vector sum of these displacements
ds = d₁ + d₂ for both people.
2m
23.0°
B
45.0°
45.0
dy,
dif
doj
28.0°
Figure P3.40
41. Express in unit-vector notation the following vectors
each of which has magnitude 17.0 cm. (a) Vector E
is directed 27.0° counterclockwise from the positive x
axis (br
erclockwise
It m
COUR
and
velo
vect
(c)
plac
(d)
plac
(e)
it pa
44. Wh
ing
can
8.00
and
and
Eve
enc
45. Re-
AMT of:
COF
hei
dir
to
vec
Ps
Fig
tio
46. Im
m
th
(5
lo
A
(a
P
(a
Transcribed Image Text:2 % Figure P3.29 31 0.0 yards, and then of scrimmage for ws a forward pass lar to the line of e of the football's nt vectors A C = (-21 +51) m. determine (a) the A + B + C and n of E = -A s of -8.70 cm and has x and y com- 0 cm, respectively. components of C? omponents of 8.00, . (a) Write a vector tation. (b) Obtain a TB one-fourth the me direction as A. ion for a vector C ting in the direction nts of 4.00, 6.00, and (a) the magnitude of es with each coordi- ponent 3.00 units in 2.00 units in length, student has learned that a single cannot be solved to determine values for more than one unknown in it. How would you explain to him that both a and can be determined from the single equation used in part (a)? 38. Three displacement vectors of a cro- quet ball are shown in Figure P3.38, where |A| = 20.0 units, B| = 40.0 units, and |C| = 30.0 units. Find (a) the resultant in unit- vector notation and (b) the magni- tude and direction of the resultant displacement. Figure P3.38 39. A man pushing a mop across a floor M causes it to undergo two displace- ments. The first has a magnitude of 150 cm and makes an angle of 120° with the positive x axis. The resultant displacement has a magnitude of 140 cm and is directed at an angle of 35.0° to the posi- tive x axis. Find the magnitude and direction of the second displacement. dim A 40. Figure P3.40 illustrates typical proportions of male (m) and female (f) anatomies. The displacements dim and dif from the soles of the feet to the navel have mag- nitudes of 104 cm and 84.0 cm, respectively. The dis- placements dom and dar from the navel to outstretched fingertips have magnitudes of 100 cm and 86.0 cm, respectively. Find the vector sum of these displacements ds = d₁ + d₂ for both people. 2m 23.0° B 45.0° 45.0 dy, dif doj 28.0° Figure P3.40 41. Express in unit-vector notation the following vectors each of which has magnitude 17.0 cm. (a) Vector E is directed 27.0° counterclockwise from the positive x axis (br erclockwise It m COUR and velo vect (c) plac (d) plac (e) it pa 44. Wh ing can 8.00 and and Eve enc 45. Re- AMT of: COF hei dir to vec Ps Fig tio 46. Im m th (5 lo A (a P (a
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