Given:
C = 5 F, C = 12 F, V = 200 V
Series capacitance:
1/C_eq = 1/C + 1/C
1/C_eq = 1/5 + 1/12
1/C_eq = 0.2 + 0.0833 = 0.2833
C_eq 3.53 F
Charge Q = C_eq × V
Q = 3.53 × 200 = 706 C
Voltage across each capacitor:
V = Q / C = 706 / 5 = 141.2 V
V = Q / C = 706 / 12 = 58.8 V
Answer:
Charge on each: 706 C
Voltages: V = 141.2 V, V = 58.8 V

Given:
h = 85 m
g = 9.8 m/s²
u = 0 m/s
v² = u² + 2 g h
v² = 0 + 2 × 9.8 × 85
v² = 1666
v = sqrt1666
v = 40.82 m/s
Answer: 40.8 m/s

Given:
Object distance u = 60 cm
Image distance v = 30 cm
Mirror formula:
1/f = 1/u + 1/v
1/f = 1/60 + 1/30
1/f = (1 + 2)/60
1/f = 3/60
1/f = 1/20
f = 20 cm
Answer: 20 cm

[Deleted]

Given:
m = 1350 kg
u = 12 m/s
v = 28 m/s
t = 9 s
Acceleration a = (v - u) / t
a = (28 - 12) / 9
a = 16 / 9 = 1.778 m/s²
Force F = m × a
F = 1350 × 1.778
F = 2400 N
Answer: 2400 N

Given:
n = 0.9 mol
m_solvent = 1.2 kg
Kb = 0.52 °C·kg/mol
Tb = Kb × (n / m_solvent)
Tb = 0.52 × (0.9 / 1.2)
Tb = 0.52 × 0.75
Tb = 0.39 °C
Answer: 0.39 °C