A
1
B
2
C
3
D
4
(acceleration due to gravity)
A
E
5
F
6
g
1
2
1
1
2
h
t
t1 t4
1
t1
t2
t3
1
t4
B
M
B
A
A
A
B
A
2
B
B
µ
F
F
m
0
F0
F
B
A
F0
2
µmg
µ(M + m)g
µ(M + m)mg
M
µ(M + m)M g
m
2
C
M
AB
CD
AB
v
CD
m
AB
3
m
AB
AB
v
H
CD
h
h
H
3
M
M +m
√
m
M +m
3
M
M +m
√
m
M +m
D
3.0m/s
4.0kg
4.0s
F [N]
t[s]
4
4
0
12
16
28
4
32
44
kg·m/s
E
1
1
T1
2
5
1
2
1
T2
T2
T1
5
1
2
√
2
2
√
1
5
2
2
F
O
r
1
4
A
v0
B
∠AOB = θ
6
v0
6
√
√
√
(3 sin θ − 2)gr
√
(2 sin θ + cos θ − 2)gr
6
(3 cos θ − 2)gr
(sin θ + 2 cos θ − 2)gr
A(
1) B(
−20◦ C
A
2) C(
3)
−20◦ C
1.0kg
0◦ C
1.0 × 101 K
1
1.0 × 103 J/K
2.0 × 103 J/kg·K
1
3.3 × 105 J/kg
0◦ C
7
1.1
2.2
3.3
11
7
22
33
B
V
A
4V
B
A
8p
T
nA [mol]
B
p
T
A
2
A
n′A [mol]
2
n′A
nA
8
3
10
1
2
3
5
8
3
4
12
5
C
A
B
A B C
3
A
B
C
TA TB TC
TA TB TC
9
TA = TB = TC
TA = TB < TC
TA < TC < TB
TB < TC < TA
9
TC < TA = TB
A(
A
1) B(
x
2) C(
v
x=L
1
3)
t=
t=0
x=0
A
B
2L
v
10
10
B
f0
P Q
2
P
Q
(a) (d)
11
11
P
Q
(a)
(c)
(b)
(d)
(c)
(a)
(d)
(b)
C
2
L
D
λ
∆x
L = 10 cm λ = 5.0 × 10−7 m ∆x = 0.50 mm
3
D
mm
12 mm
0.010
0.050
0.10
12
0.50
A(
A
1) B(
2) c(
xy
3) D(
O
4) E(
Q
5) F(
6)
(a, 0)
−Q
k
(
1
P
a
,
2
√
3a
2
)
13
kQ
2a2
√
3kQ
2a2
kQ
a2
13
√
3kQ
a2
2kQ
a2
B
1
2
2
14
14
C
3
X Y R
Y
X
X
2
X
R
Y
3
Y
PX
X
Y
PY
PY
PX
15
2
9
9
8
1
2
3
2
2
3
2
15
8
9
9
2
D
V
CA
S1
CB
S2
,2
S1
S2
2
S1
4
2
S1
S1
S2
S2
16
1C V2
2 B
1 (C + C )V 2
B
2 A
2
1 CA V 2
2 CB
1 CA (CA + CB ) V 2
2
CC
2
CA
1
V2
2 CA + CB
1 CA CB V 2
2 CA + CB
CB2
1
V2
2 CA + CB
16
E
1
O
◦
30
O
P
#
OP
2
OP
r
H0
5
17
rH0
√
3rH0
πrH0
√
3πrH0
rH0
√
3rH0
πrH0
√
3πrH0
17
F
B
0
q
V
O
P
OP
d
m′
q
P′
6
m
OP′
4d
m′
m
18
1
16
1
4
1
2
2
18
4
6
A(
1)
A
X
2
X
1
19
19