You are dealing with pulleys?
can be done with addition of the two equations to eliminate T.

+

=

we can cancel m₁ by dividing both sides by it, assuming mass is not zero

a₂ = 6.125 m/s² ( do significant digits if you need to)
Answer:
They would go out
Explanation:
This is because, in a series connection, the same current passes through each light. Since the current is the same, if one light burns out, it cuts off the rest of the other lights and thus, no current flows in the string again.
Whereas, in a parallel connection, each light is attached to its own wire and thus has a different current flowing through it than the rest of the other wires. If one of the lights goes out, current stops flowing through it but, it doesn't affect the other lights.
Answer:
C = 3.77*10⁻¹⁰ F = 377 pF
Q = 1.13*10⁻⁵ C
Explanation:
Given
D = 8.0 cm = 0.08 m
d = 0.95 cm = 0.95*10⁻² m
k = 80.4 (dielectric constant of the milk)
V = 30000 V
C = ?
Q = ?
We can get the capacitance of the system applying the formula
C = k*ε₀*A / d
where
ε₀ = 8.854*10⁻¹² F/m
and A = π*D²/4 = π*(0.08 m)²/4
⇒ A = 0.00502655 m²
then
C = (80.4)*(8.854*10⁻¹² F/m)*(0.00502655 m²) / (0.95*10⁻² m)
⇒ C = 3.77*10⁻¹⁰ F = 377 pF
Now, we use the following equation in order to obtain the charge on each plate when they are fully charged
Q = C*V
⇒ Q = (3.77*10⁻¹⁰ F)*(30000 V)
⇒ Q = 1.13*10⁻⁵ C
The underlined offset 2 is called a subscript and it describes how many of the element preceding it per molecule of the entire molecule/compound. In the case of H20, it means there are 2 Hydrogen per H20 molecule.