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If $E=\frac{A-x^2}{Bt}$  where E is energy, x is displacement and t is time. Find dimensions of AB

Force on a particle moving in straight line is given by $\overrightarrow{F}=6t^2\widehat{i}-3t\widehat{j}$  and velocity is $\overrightarrow{v}=3t\widehat{i}+6t\widehat{j}$ . Find power at t = 2.

For the block shown, F₁ is the minimum force required to move block upwards and F₂ is the minimum force required to prevent it from slipping, find $\left|{\overrightarrow{F}}_1-{\overrightarrow{F}}_2\right|$