respectively. Plugging in
a
= 0.12 m/s
2
and
m
= 9500 kg, we obtain
F
x
=
−
6.4
×
10
3
N
and
F
y
=
−
2.4
×
10
3
N. The magnitude of the force of the water is therefore
FF
F
xy
water
N.
=+
=
×
22
3
68
10
.
(b) Its angle measured from
ˆ
i
+
is either
1
tan
21 or201 .
y
x
F
F
−
§·
=+ °
°
¨¸
©¹
The signs of the components indicate the latter is correct, so
G
F
water
is at 201
°
measured
counterclockwise from the line of motion (+
x
axis).
48. The direction of motion (the direction of the barge’s acceleration) is
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 Spring '08
 Any
 Physics, Acceleration, Force

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