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Let's go through each equation step by step to solve for the unknowns:

### a. \( T = 2\pi \sqrt{\frac{4.5 \times 10^{-4} \text{ kg}}{2.0 \times 10^{-4} \text{ kg/s}^2}} \)

We need to simplify the expression under the square root first and then multiply by \( 2\pi \):

\[
\frac{4.5 \times 10^{-4} \text{ kg}}{2.0 \times 10^{-4} \text{ kg/s}^2} = \frac{4.5}{2.0} \times 10^{0} \text{ s}^2 = 2.25 \text{ s}^2
\]

Taking the square root:

\[
\sqrt{2.25} = 1.5 \text{ s}
\]

Finally, multiplying by \( 2\pi \):

\[
T = 2\pi \times 1.5 \text{ s} \approx 9.42 \text{ s}
\]

###

Solve for the unknowns in the given physics equations, including concepts such as kinetic energy, Coulomb's law, gravitational forces, and trigonometry.

This detailed solution guide walks through the process of solving complex physics equations involving key concepts such as kinetic energy, Coulomb's law, and gravitational forces. Suitable for Grades 11-12, this resource helps students understand and apply fundamental physics principles.

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