(Solved): 2. Often Physics problems are done with variables only. Solve each equation for the variable indic ...

2. Often Physics problems are done with variables only. Solve each equation for the variable indicated. Show ALL your work leading to the answer. i. \( \quad v^{2}=v_{o}^{2}+2 a\left(s-s_{o}\right) \quad, a= \) j. \( K=\frac{1}{2} k x^{2} \quad, x= \) k. \( \quad T_{p}=2 \pi \sqrt{\frac{\ell}{g}} \quad, g= \) ?. \( \quad F_{X}=G \frac{m_{1} m_{2}}{r^{2}} \quad, r= \) m. \( m g h=\frac{1}{2} m v^{2} \quad, v= \) n. \( \quad x=x_{o}+v_{o} t+\frac{1}{2} a t^{2} \quad, t= \) q. \( \quad p V=n R T \quad, T= \) r. \( \quad \sin \theta_{c}=\frac{n_{1}}{n_{2}} \quad, \theta_{c}= \) s. \( q V=\frac{1}{2} m v^{2} \quad, v= \) t. \( \quad \frac{1}{f}=\frac{1}{s_{o}}+\frac{1}{s_{i}} \quad, s_{i}= \) u. \( \quad a=\frac{v_{f}-v_{o}}{t}, v_{f}= \) v. \( F=k \frac{m_{1} m_{2}}{r^{2}} \quad, m_{2}= \) w. \( T=2 \pi \sqrt{\frac{L}{g}} \quad, L= \) x. \( \frac{1}{f}=\frac{1}{d_{o}}+\frac{1}{d_{i}} \quad, f= \)