5. We denote the two forces
G
G
FF
12
and
. According to Newton’s second law,
G
G
G
G
G
G
FFm
a
Fm
aF
2
1
+=
−
=s
o
,.
(a) In unit vector notation
G
F
1
20 0
=
.
#
Ni
b
g
and
()
(
)
(
)
(
)
22
2
2
ˆˆ
ˆ
ˆ
12.0 sin 30.0 m/s
i
12.0 cos 30.0 m/s
6.00 m/s
i
10.4m/s
j.
j
a
=−
°
−
°
= −
−
G
Therefore,
(
)
2
ˆ
2.00kg
6.00 m/s
i
2.00 kg
10.4 m/s
j
20.0 N i
32.0 N i
20.8 N j.
F
+
−
−
−
G
(b) The magnitude of
G
F
2
is
2
2
2


( 32.0 N)
( 20.8 N)
38.2 N.
xy
F
=+
=
−
+
−
=
G
(c) The angle that
G
F
2
makes with the positive
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Force

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