Question

If 500g be the unit pf mass 50s be unit of time and acceleration die to gravity is 980m/s 2 be the unit of acceleration. Find new unit of energy?

Answer 1

Dear student
$$\begin{gathered} Given \\ Mass\left[M\right]=500g=0.5kg \\ Time\left[T\right]=50s \\ accelerationL/T^2=980m/s^2 \\ L=980\times T^{2}m/s^2 \\ L=980\times (50s{)}^{2}m/s^2 \\ L=980\times 2500m \\ Unitofenergy \\ E=M{L}^2{T}^{-2} \\ E=\frac{0.5g\times (980\times 2500{)}^2}{(50s{)}^2}=1.2\times {10}^{9}kgm{s}^{-2}=1.2\times {10}^{9}J \\ Regards \end{gathered}$$